{"id":185,"date":"2023-06-06T21:22:09","date_gmt":"2023-06-07T04:22:09","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/igor-kukavica\/?page_id=185"},"modified":"2025-03-29T19:06:34","modified_gmt":"2025-03-30T02:06:34","slug":"publications","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/igor-kukavica\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
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179. (with M.C. Lombardo and M. Sammartino), On the local analyticity for the Euler equations (submitted); arXiv:2502.00427<\/a>.<\/p>\n

178. (with M. Aydin and A. Tuffaha), A free boundary inviscid model of flow-structure interaction (submitted); arXiv:2501.10331<\/a>.<\/p>\n

177. (with M. Aydin and F. Xu), Almost global existence for the stochastic Navier-Stokes equations with small $H^{1\/2}$ data (submitted); arXiv:2501.10331<\/a><\/p>\n

176. (with L. Li) Observability from a measurable set for functions in a Gevrey class (submitted); arXiv:2411.00342<\/a>.<\/p>\n

175. (with W. Ozanski), Exact boundary controllability of the 3D and 2D incompressible ideal MHD system (submitted); arXiv:2410.02588<\/a>.<\/p>\n

174. (with F. Xu), Global existence of the stochastic Navier-Stokes equations in $L^3$ with small data (submitted); arXiv:2410.02919<\/a>.<\/p>\n

173. (with G. Camliyurt and L. Li), Upper bounds of nodal sets for Gevrey regular parabolic equations (submitted); arXiv:2409.09879<\/a>.<\/p>\n

172. (with F. Wang and Y. Zhu), On Green’s function of the vorticity formulation for the 3D Navier-Stokes equations (submitted); arXiv:2407.10751<\/a>.<\/p>\n

171. (with M.S. Aydin), Euler Equations in Sobolev conormal spaces, Research in the Mathematical Sciences (to appear); arXiv:2407.18149<\/a>.<\/p>\n

170. (with M.S. Aydin), Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions, SIAM J. Math. Anal. (to appear); arXiv:2307.02201<\/a>.<\/p>\n

169. (with T. Alazard and A. Tuffaha), Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping (submitted); arXiv:2404.09820<\/a>.<\/p>\n

168. (with A. Balakrishna, B. Muha, and A. Tuffaha), Inviscid fluid interacting with a nonlinear two-dimensional plate, Interfaces and Free Boundaries (to appear); arXiv:2411.00115<\/a>.<\/p>\n

167. (with L. Li and A. Tuffaha), On the local existence of solutions to the Navier-Stokes-wave system with a free interface, Applied Mathematics and Optimization (to appear); arXiv:2202.02707<\/a>.<\/p>\n

166. (with Sarka Necasova and Amjad Tuffaha), Compressible Euler Equations in an elastic domain, Indiana Univ. Math. J. (to appear); arXiv:2311.08731<\/a>.<\/p>\n

165. (with W. Ozanski and M. Sammartino), The inviscid inflow-outflow problem via analyticity, Archive Rational Mech. Analysis (to appear); arXiv:2310.20439<\/a>.<\/p>\n

164. (with F. Wang and F. Xu), Local existence of the stochastic Navier-Stokes equations in the whole space, Stochastics and PDE (to appear); arXiv:2301.12877<\/a>.<\/p>\n

163. (with A. Tuffaha), A free boundary inviscid model of flow-structure interaction, J. Differential Equations 413<\/strong> (2024), 851-912; arXiv:2205.12103<\/a>.<\/p>\n

162. (with M. Aydin and M. Ziane), On asymptotic properties of the Boussinesq equations, Discrete Contin. Dynam. Systems B 30<\/strong> (2025), no. 1, 26-43; arXiv:2304.00481<\/a>.<\/p>\n

161. (with Q. Le), On the pointwise Schauder estimates for elliptic equations, Discrete Contin. Dynam. Systems 44<\/strong> (2024), No. 12, 3734-3759; arXiv:2302.03289<\/a>.<\/p>\n

160. (with J. Jang and P. Jayanti), On the mass transfer in the 3D Pitaevskii model, J. Math. Fluid Mech. 26<\/strong>, 43 (2024); arXiv:2310.06305<\/a>.<\/p>\n

159. (with J. Jang and P. Jayanti), Small-data global existence of solutions for the Pitaevskii model of superfluidity, Nonlinearity 37<\/strong> (2024) 39pp.<\/p>\n

158. (with L. Li and A. Tuffaha), On the local existence of solutions to the compressible Navier-Stokes-wave system with a free interface, J. Math. Fluid Mech. 26<\/strong> (2024), no. 2, Paper No. 25, 37 pp.<\/p>\n

157. (with M.S. Aydin, W. Ozanski, and A. Tuffaha), Construction of the free-boundary 3D incompressible Euler flow under limited regularity, J. Differential Equations 394<\/strong> (2024), 209-236.
\narXiv:2307.02201<\/a>.<\/p>\n

156. (with W. Ozanski), On a model of an elastic body fully immersed in a viscous incompressible fluid with small data, SIAM J. Math. Anal. 56<\/strong> (2024), no. 1, 746-761. arXiv:2208.14859v1<\/a>.<\/p>\n

155. (with W. Ozanski), Global well-posedness and exponential decay for a fluid-structure model with small data, Indiana University Math. J. 72<\/strong> (2023), no. 6, 2701-2731. arXiv:2208.14859v2<\/a>.<\/p>\n

154. (with L. Li and A. Tuffaha), Maximal regularity for the Neumann-Stokes problem in $H^{r\/2,r}$ spaces, C. R. Math. Rep. Acad. Sci. Canada 45<\/strong> (2023), 56-63.<\/p>\n

153. (with D. Massatt and M. Ziane), Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions, Discrete Contin. Dynam. Systems 43<\/strong> (2023), 3060-3081. arXiv:2109.14672<\/a>.<\/p>\n

152. (with A. Tuffaha), An inviscid free boundary fluid-wave model}, Journal of Evolution Equations 23<\/strong> (2023) Article 41. \u00a0arXiv:2205.12103<\/a>.<\/p>\n

151. (with F. Xu), Local existence of strong solutions to the stochastic Navier-Stokes equations with $L^{p}$ data, J. Diff. Eq. 359<\/strong> (2023), 183-210.\u00a0arXiv:2110.07091<\/a>.<\/p>\n

150. (with D. Massatt) On the global existence for the Kuramoto-Sivashinsky equation, J. Dynam. Diff. Eq. 35<\/strong> (2023), 69-85.<\/p>\n

149. (with W. Ozanski) Local-in-time existence of free-surface 3D Euler flow with $H^{2+\\delta}$ initial vorticity in a neighborhood of the free boundary (submitted),\u00a0arXiv:2106.13961<\/a>.<\/p>\n

148. (with Q. Li), On quantitative uniqueness for parabolic equations (submitted),\u00a0arXiv:2107.11698<\/a>.<\/p>\n

147. (with J. Jang and L. Li), Mach limits in analytic spaces on exterior domains, Discrete Contin. Dynam. Systems 32 (to appear),\u00a0arXiv:2105.14147<\/a>.<\/p>\n

146. (with Z. Bradshaw and W. Ozanski), Global existence for the Navier-Stokes equations in the half-space (submitted)\u00a0arXiv:2012.15848<\/a>.<\/p>\n

145. (with T. Nguyen, V. Vicol, and F. Wang), On the Euler+Prandtl expansion for the Navier-Stokes equations, J. Math. Fluid Mechanics (to appear),\u00a0arXiv:2107.03417<\/a>.<\/p>\n

144. (with V. Vicol and F. Wang) Remarks on the inviscid limit problem for the Navier-Stokes equations, Pure and Applied Functional Analysis, 7<\/strong> (2022), 283-306.<\/p>\n

143. (with Z. Bradshaw and T.-P. Tsai), Existence of global weak solutions to the Navier-Stokes equations in weighted spaces, Indiana University Math. J. 71<\/strong> (2022), 191-212,\u00a0arXiv:1910.06929<\/a>.<\/p>\n

142. (with M. Novack and V. Vicol), Exact boundary controllability for the ideal Magneto-Hydrodynamic Equations, J. Diff. Eq. 318<\/strong> (2022), 94-112,\u00a0arXiv:2108.12089<\/a>.<\/p>\n

141. (with Fanhui Xu and M. Ziane) Global existence for the stochastic Navier-Stokes equations with small $L^p$ data, Stochastics and PDE: Analysis and Computation\u00a010<\/strong>\u00a0(2021), 160-189.<\/p>\n

140. (with W. Ozanski), An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range Applied Mathematics Letters (to appear),\u00a0arXiv:2102.06152<\/a>.<\/p>\n

139. (with J. Jang and L. Li), Mach limits in analytic spaces, Journal of Differential Equations\u00a0299<\/strong>\u00a0(2021), 284-332.<\/p>\n

138. (with W. Wang), Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity, J. Dynam. Diff. Eq.\u00a032<\/strong>\u00a0(2020), 2061-2077.<\/p>\n

137. (with V. Vicol and F. Wang) The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary, Arch. Ration. Mech. Anal.\u00a0237<\/strong>\u00a0(2020), 779-827.<\/p>\n

136. (with G. Camliyurt and V. Vicol), Analyticity up to the boundary for the Stokes and the Navier-Stokes systems, Transactions of AMS\u00a0373<\/strong>\u00a0(2020), 3375-3422.<\/p>\n

135. (with W. Wang), Global Sobolev persistence for the fractional Boussinesq equation with zero diffusivity, Pure and Applied Functional Analysis\u00a05<\/strong>\u00a0(2020), 27-45.<\/p>\n

134. (with Z. Bradshaw) Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data, J. Math. Fluid Mechanics\u00a022<\/strong>\u00a0(2020), paper no. 3, 20pp.<\/p>\n

133. (with M. Disconzi and A. Tuffaha), A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension, SIAM J. Math. Anal.\u00a051<\/strong>\u00a0(2019), 3982-4022.<\/p>\n

132. (with M. Disconzi), A priori estimates for the free-boundary Euler equations with surface tension in three dimensions, Nonlinearity\u00a032<\/strong>(2019), 3369-3405.<\/p>\n

131. (with M. Disconzi), A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid, Evolution Equations and Control Theory\u00a08<\/strong>\u00a0(2019), 503-542.<\/p>\n

130. (with F. Xu), Local existence for the stochastic Euler equations with Levy noise, Asymptotic Analysis\u00a0113<\/strong>\u00a0(2019), 1-27.<\/p>\n

129. (with W. Rusin and M. Ziane), On local regularity conditions for the Navier-Stokes equations, Nonlinearity\u00a032<\/strong>(2019) 1905-1928.<\/p>\n

128. (with G. Camliyurt and F. Wang), On quantitative uniqueness for elliptic equations, Math. Z.\u00a01-2<\/strong>\u00a0(2019), 227-244.<\/p>\n

127. (with G. Camliyurt and V. Vicol), Gevrey regularity of the Navier-Stokes in a half-space, J. Diff. Eq.\u00a0265<\/strong>\u00a0(2018), 4052-4075.<\/p>\n

126. (with G. Camliyurt and F. Wang), On localization and quantitative uniqueness for the elliptic partial differential equations, Partial differential equations in fluid mechanics, 68\u2013-96, London Math. Soc. Lecture Note Ser., 452, Cambridge Univ. Press, Cambridge, 2018.<\/p>\n

125. (with V. Vicol), A direct approach to Gevrey regularity on the half-space, Partial differential equations in fluid mechanics, 268\u2013-288, London Math. Soc. Lecture Note Ser., 452, Cambridge Univ. Press, Cambridge, 2018.<\/p>\n

124. (with B. Kaltenbacher, I. Lasiecka, R. Triggiani, A. Tuffaha, and J.T. Webster), Mathematical theory of evolutionary fluid-flow structure interactions, Birkh”auser, 2018 (book); with A. Tuffaha, An introduction to a fluid-structure model.<\/p>\n

123. with I. Ekren and M. Ziane, Existence of invariant measures for the stochastic damped KdV equation, Indiana Univ. Math. J.\u00a067<\/strong>\u00a0(2018), 1221-1254.<\/p>\n

122. (with G. Camliyurt), On the Lagrangian and Eulerian analyticity for the Euler equations, Physica D\u00a0376-377<\/strong>\u00a0(2018), 121-130.<\/p>\n

121. (with F. Wang), Far field regularity for the supercritical quasi-geostrophic equation, Communications in Mathematical Sciences\u00a016<\/strong>\u00a0(2018), 393-410.<\/p>\n

120. (with G. Camliyurt), Quantitative unique continuation for a parabolic equation, Indiana Univ. Math. J.\u00a067<\/strong>\u00a0(2018), 657-678.<\/p>\n

119. (with M. Disconzi), On the local existence for the Euler equations with free boundary for compressible and incompressible fluids, C. R. Math. Acad. Sci. Paris\u00a0356<\/strong>\u00a0(2018), 306-311.<\/p>\n

118. (with A. Tuffaha), A sharp regularity result for the Euler equation with a free interface, Asymptotic Analysis\u00a0106<\/strong>\u00a0(2018), 121-145.<\/p>\n

117. (with K. Ugurlu and M. Ziane), On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise, Differential Integral Equations\u00a031<\/strong>\u00a0(2018), 173\u2013-186.<\/p>\n

116. (with A. Tuffaha and V. Vicol), On the local existence for the 3D Euler equation with a free interface, Appl. Math. Optim.\u00a076<\/strong>\u00a0(2017), 535-563.<\/p>\n

115. (with W. Rusin and M. Ziane), Localized anisotropic regularity conditions for the Navier-Stokes equations, Journal of Nonlinear Science\u00a027<\/strong>\u00a0(2017), 1725-1742.<\/p>\n

114. (with I. Ekren and M. Ziane), Existence of invariant measures for the stochastic damped Schrodinger equation, Stochastics and PDE: Analysis and Computation 5<\/strong> (2017), 343-367.<\/p>\n

113. (with I. Ekren and M. Ziane), Existence of invariant measures for some damped stochastic dispersive equations, C. R. Math. Acad. Sci. Paris\u00a0355<\/strong>\u00a0(2017), 676-679.<\/p>\n

112. (with W. Rusin and M. Ziane), An anisotropic partial regularity criterion for the Navier-Stokes equations, J. Math. Fluid Mech.\u00a019<\/strong>\u00a0(2017), 123-133.<\/p>\n

111. (with M. Ignatova, I. Lasiecka, and A. Tuffaha), Small data global existence for a fluid-structure model, Nonlinearity\u00a030<\/strong>\u00a0(2017), 848-898.<\/p>\n

110. (with V. Vicol and F. Wang), The van Dommelen and Shen singularity in the Prandtl equations, Advances in Mathematics\u00a0307<\/strong>\u00a0(2017), 288-311.<\/p>\n

109. (with G. Camliyurt), A local asymptotic expansion for a solution of the Stokes system, Evol. Equ. Control Theory\u00a05<\/strong>\u00a0(2016), 647-659.<\/p>\n

108. (with V. Vicol and F. Wang), On the ill-posedness of active scalar equations with odd singular kernels, Proceedings of the Eighth Congress of Romanian Mathematicians, New Trends in Differential Equations, Control Theory and Optimization (2016), 185-200.<\/p>\n

107. (with M. Ignatova), On the local existence of the free-surface Euler equation with surface tension, Asymptotic Analysis\u00a0100<\/strong>\u00a0(2016), 63-86.<\/p>\n

106. (with P. Constantin and V. Vicol), Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations, Ann. I. Poincare\u00a033<\/strong>\u00a0(2016), 1569-1588.<\/p>\n

105. (with M. Sammartino and M.C. Lombardo), Zero viscosity limit for analytic solutions of the primitive equations, Arch. Rational Mech. Anal.\u00a0222<\/strong>\u00a0(2016), 14-45.<\/p>\n

104. (with A. Tuffaha, V. Vicol, and F. Wang), On the existence for the free interface 2D Euler equation with a localized vorticity condition, Appl. Math. Optim.\u00a073<\/strong>\u00a0(2016), 523-544.<\/p>\n

103. (with A. Bensoussan, I. Lasiecka, S. Mitter, R. Temam, and R. Triggiani),Preface: In memory of A.V. Balakrishnan Appl. Math. Optim.\u00a073<\/strong>\u00a0(2016), 391-392.<\/p>\n

102. (with W. Hu, F. Wang, and M. Ziane), Review for Boussinesq equations with zero viscosity or zero diffusivity, Recent Progress in the Theory of the Euler and Navier-Stokes equations, J.C. Robinson, J.L. Rodrigo, W. Sadowski, and A. Vidal-Lopez editors, London Mathematical Society Lecture Note Series (2016), 77-95.<\/p>\n

101. (with Z. Bradshaw and Z. Grujic), Analyticity radii and the Navier-Stokes equations: recent results and applications, Recent Progress in the Theory of the Euler and Navier-Stokes equations, J.C. Robinson, J.L. Rodrigo, W. Sadowski, and A. Vidal-Lopez editors, London Mathematical Society Lecture Note Series (2016), 22-36.<\/p>\n

100. (with M. Ignatova and L. Ryzhik), The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity,\u00a0Comm. PDE<\/i>\u00a0\u00a041<\/strong>\u00a0(2016), 208-226.<\/p>\n

99. (with F. Wang and M. Ziane), Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces,\u00a0Adv. Diff. Eq.<\/i>\u00a021<\/strong>\u00a0(2016), 85-108.<\/p>\n

\/div> 98. (with Z. Bradshaw and Z. Grujic), Local analyticity radii of solutions to the 3D Navier-Stokes equations with analytic forcing, J. Diff. Eq.\u00a0259<\/strong>\u00a0(2015), 3955-3975.<\/p>\n

<\/div>\n

97. (with F. Wang), Weighted decay for the surface quasi-geostrophic equation,\u00a0Commun. Math. Sci.<\/i>\u00a013<\/strong>\u00a0(2015), 1599-1614.<\/p>\n

96. (with P. Constantin and V. Vicol), On the inviscid limit of the Navier-Stokes equations,\u00a0Proceedings of AMS<\/i>\u00a0143<\/strong>\u00a0(2015), 3075-3090.<\/p>\n

95. (with M. Coti Zelati, A. Huang, R. Temam, and M. Ziane), The primitive equations of the atmosphere in presence of vapor saturation, Nonlinearity\u00a028<\/strong>\u00a0(2015), 625-668.<\/p>\n

94. (with W. Hu and M. Ziane), Sur l’existence locale pour une equation de scalaire actif,\u00a0C. R. Math. Acad. Sci. Paris<\/i>\u00a0353<\/strong>\u00a0(2015), 241-245.<\/p>\n

93. (with W. Hu and M. Ziane), Persistence of regularity for a viscous Boussinesq equations with zero diffusivity,\u00a0Asymptotic Analysis<\/i>\u00a091<\/strong>\u00a0(2015), 111-124.<\/p>\n

92. (with N. Glatt-Holtz, V. Vicol, and M. Ziane), Existence and regularity of invariant measures for the three dimensional stochastic primitive equations,\u00a0J. Math. Phys.<\/i>\u00a055<\/strong>\u00a0(2014), 34 pp.<\/p>\n

91. (with V. Vicol), Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain,\u00a0Asymptotic Analysis<\/i>\u00a090<\/strong>\u00a0(2014), 189-206.<\/p>\n

90. (with N. Masmoudi, V. Vicol, and T. Wong), On the local well-posedness of the Prandtl and the hydrostatic Euler equations with multiple monotonicity regions,\u00a0SIAM J. Math. Anal.<\/i>\u00a046<\/strong>\u00a0(2014), 3865-3890.<\/p>\n

89. (with S. Benachour, W. Rusin, and M. Ziane), Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky\u00a0equation, J. Dynamics Diff. Eq.<\/i>\u00a026<\/strong>\u00a0(2014), 461-476.<\/p>\n

88. (with W. Rusin and M. Ziane), A class of large BMO-1<\/sup>\u00a0non-oscillatory data for the Navier-Stokes equations,\u00a0J. Math. Fluid Mechanics<\/i>\u00a016<\/strong>\u00a0(2014), 293-305.<\/p>\n

87. (with Y. Pei, W. Rusin, and M. Ziane), Primitive equations with continuous initial data, Nonlinearity\u00a027<\/strong>\u00a0(2014), 1135-1155.<\/p>\n

86. (with A. Tuffaha), A regularity result for the incompressible Euler equation with a free interface,\u00a0Applied Mathematics and Optimization<\/i>, Appl. Math. Optim.\u00a069<\/strong>\u00a0(2014), 337-358.<\/p>\n

85. (with M. Ignatova, I. Lasiecka, and A. Tuffaha), On well-posedness and small data global existence for an interface damped free boundary fluid-structure model,\u00a0Nonlinearity<\/i>\u00a027<\/strong>\u00a0(2014), 467-499.<\/p>\n

84. (with M. Ignatova and L. Ryzhik), The Harnack inequality for second-order elliptic equations with divergence-free drifts,\u00a0Communications in Math. Sciences<\/i>\u00a0(to appear).<\/p>\n

83. (with W. Hu and M. Ziane), On the regularity for the Boussinesq equations in a bounded domain,\u00a0J. Math. Phys.<\/i>\u00a054<\/strong>\u00a0(2013), 10 pp.<\/p>\n

82. (with W. Rusin and M. Ziane), A class of solutions of the Navier-Stokes equations with large data,\u00a0J. Diff Eq.<\/i>\u00a0(to appear).<\/p>\n

81. (with W. Rusin and M. Ziane), Solutions of the Navier-Stokes equations for large oscillatory data,\u00a0Adv. Differential Equations<\/i>\u00a018<\/strong>\u00a0(2013), 549-586.<\/p>\n

80. (with A. Mazzucato and A. Tuffaha), Sharp trace regularity for an anisotropic elasticity system,\u00a0Proc. Amer. Math. Soc.<\/i>\u00a0141<\/strong>, 2673-2682.<\/p>\n

79. (with M. Ignatova), Strong unique continuation for the Navier-Stokes equation with non-analytic forcing,\u00a0J. Dynam. Diff. Eq<\/i>\u00a025<\/strong>\u00a0(2013), 1-15.<\/p>\n

78. (with V. Vicol), On the local existence of analytic solutions to the Prandtl boundary layer equations,\u00a0Commun. Math. Sci<\/i>\u00a011<\/strong>\u00a0(2013), 269-292.<\/p>\n

77. (with A. Tuffaha), Regularity of solutions of a free boundary problem of fluid-structure interaction, Indiana Univ. Math. J.\u00a061<\/strong>\u00a0(2012), 1817-1859.<\/p>\n

76. On the decay of solutions of the Navier-Stokes system with potential forces, Mathematical Aspects of Fluid Mechanics, J.C. Robinson, J.L. Rodrigo, and W. Sadowski Editors, London Mathematical Society Lecture Note Series: 402, Cambridge University press, 2012, 235-250.<\/p>\n

75. (with A. Tuffaha), On the 2D free boundary Euler equation,\u00a0Evolution Equations and Control Theory<\/i>\u00a01<\/strong>\u00a0(2012), 297-314.<\/p>\n

74. (with M. Ignatova and M. Ziane), Local existence of solutions to the free boundary value problem for the primitive equations of the ocean,\u00a0Journal of Mathematical Physics<\/i>\u00a053<\/strong>\u00a0(2012), 17pp. (to appear).<\/p>\n

73. (with M. Ignatova, I. Lasiecka, and A. Tuffaha), On well-posedness for a free boundary fluid-structure model,\u00a0J. Math. Phys.<\/i>\u00a053<\/strong>\u00a0(2012), 13 pp.<\/p>\n

72. (with C. Doering and E.S. Titi), Introduction to special issue: Incompressible fluids, turbulence and mixing,\u00a0J. Math. Phys.<\/i>\u00a011<\/strong>\u00a0(2012), 3 pp.<\/p>\n

71. (with A. Tuffaha), Well-posedness for the compressible Navier-Stokes-Lam’e system with a free interface,\u00a0Nonlinearity<\/i>\u00a025<\/strong>\u00a0(2012), 3111-3137.<\/p>\n

70. (with Y. Pei), An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system,\u00a0Nonlinearity<\/i>\u00a025<\/strong>\u00a0(2012), 2775-2783.<\/p>\n

69. (with M. Ignatova), Strong unique continuation for higher order elliptic equations with Gevrey coefficients,\u00a0J. Diff. Eq.<\/i>\u00a0252<\/strong>\u00a0(2012), 2983-3000.<\/p>\n

68. (with A. Tuffaha), Solutions to a fluid-structure interaction free boundary problem,\u00a0Discrete Contin. Dyn. Syst.<\/i>\u00a032<\/strong>\u00a0(2012), no. 4, 1355\u00e2\u20ac\u201c1389.<\/p>\n

67. (with V. Vicol), On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations,\u00a0Nonlinearity<\/i>\u00a04<\/strong>\u00a0(2011), 765-796.<\/p>\n

66. (with A. Tuffaha and M. Ziane), Strong solutions to a Navier-Stokes-Lame’ system on a domain with a non-flat boundary,\u00a0Nonlinearity<\/i>\u00a024<\/strong>\u00a0(2011), 159-176.<\/p>\n

65. (with E. Reis), Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces,\u00a0J. Diff. Eq.<\/i>\u00a0250<\/strong>\u00a0(2011), 607-622.<\/p>\n

64. (with R. Temam, V. Vicol, and M. Ziane), Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain,\u00a0J. Diff. Eq.<\/i>\u00a0250<\/strong>\u00a0(2011), 1719-1746.<\/p>\n

63. Partial regularity for the Navier-Stokes equations with a force in a Morrey space,\u00a0J. Math. Anal. Appl.<\/i>\u00a0374<\/strong>\u00a0(2011), 573-584.<\/p>\n

62. (with V. Vicol), Domain of analyticity for solutions of the three-dimensional Euler equations in half space,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a029<\/strong>\u00a0(2011), 285-303.<\/p>\n

61. (with R. Temam, V. Vicol, and M. Ziane), Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain,\u00a0C. R. Math. Acad. Sci. Paris<\/i>\u00a0348<\/strong>\u00a0(2010), 639-645.<\/p>\n

60. (with M. Ignatova), Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients,\u00a0Adv. Diff. Eq.<\/i>\u00a015<\/strong>\u00a0(2010), 953-975.<\/p>\n

59. On regularity for the Navier-Stokes equations in Morrey spaces,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a026<\/strong>\u00a0(2010), 1319-1328.<\/p>\n

58. (with A. Tuffaha and M. Ziane), Strong solutions to a fluid structure interaction system,\u00a0Adv. Diff. Eq.<\/i>\u00a015<\/strong>\u00a0(2010), 231-254.<\/p>\n

57. Partial regularity results for solutions of the Navier-Stokes system, J. Rodrigo and J.C. Robinson editors, Proceedings of the workshop on “Partial differential equations and fluid mechanics,” Warwick, 2009.<\/p>\n

56. The fractal dimension of the singular set for solutions of the Navier-Stokes system,\u00a0Nonlinearity<\/i>\u00a022<\/strong>\u00a0(2009), 2889-2900.<\/p>\n

55. (with A. Tuffaha and M. Ziane), Strong solutions to a nonlinear fluid structure interaction system,\u00a0J. Diff. Eq.<\/i>\u00a0247<\/strong>\u00a0(2009), 1452-1478.<\/p>\n

54. On the weighted decay for solutions of the Navier-Stokes system,\u00a0Nonlinear Anal.<\/i>\u00a070<\/strong>\u00a0(2009), 2466-2470.<\/p>\n

53. (with Vlad Vicol), On the radius of analyticity of solutions to the three-dimensional Euler equations,\u00a0Proc. Amer. Math. Soc.<\/i>\u00a0137<\/strong>\u00a0(2008), 669-677.<\/p>\n

52. (with M. Ziane), Uniform gradient bounds for the primitive equations of the ocean,\u00a0Differential Integral Equations<\/i>\u00a021<\/strong>\u00a0(2008), 837-849.<\/p>\n

50. (with Vlad Vicol), On local uniqueness of weak solutions to the Navier-Stokes system with $BMO^-1$ initial datum,\u00a0J. Dynam. Differential Equations<\/i>\u00a020<\/strong>\u00a0(2008), 719-732.<\/p>\n

49. On partial regularity for the Navier-Stokes equations,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a021<\/strong>\u00a0(2008), 717-728.<\/p>\n

48. (with M. Ziane), On the Regularity of the primitive equations of the ocean,\u00a0Nonlinearity<\/i>\u00a020<\/strong>\u00a0(2007), 2739-2753.<\/p>\n

47. (with M. Ziane), The regularity of solutions of the primitive equations of the ocean in space dimension three,\u00a0C. R. Math. Acad. Sci. Paris<\/i>\u00a0345<\/strong>\u00a0(2007), 257-260.<\/p>\n

46. (with M. Ziane) Navier-Stokes equation with regularity in one direction,\u00a0J. Math. Phys.<\/i>\u00a048<\/strong>\u00a0(2007), 10pp.<\/p>\n

45. (with J.J. Torres) Weighted $L^p$ decay for solutions of the Navier-Stokes equations,\u00a0Comm. Partial Differential Equations<\/i>,\u00a032<\/strong>\u00a0(2007), 819\u00c2\u00ad831.<\/p>\n

44. Log-log convexity and backward uniqueness,\u00a0Proc. Amer. Math. Soc.<\/i>\u00a0135<\/strong>\u00a0(2007), 2415-2421.<\/p>\n

43. (with M. Ziane) On the regularity of the Navier-Stokes equation in a thin periodic domain,\u00a0J. Differential Equations<\/i>\u00a0234<\/strong>\u00a0(2007), 485-506.<\/p>\n

42. (with M. Ziane) Sur la re’gularite’ des e’quations de Navier-Stokes dans un domaine mince pe’riodique,\u00a0C. R. Acad. Sci. Paris, Ser. I<\/i>\u00a0344<\/strong>\u00a0(2007), 97-102.<\/p>\n

41. (with M. Ziane) Re’gularite’ conditionnelle des e’quations de Navier-Stokes,\u00a0C. R. Acad. Sci. Paris, Ser. I<\/i>\u00a0343<\/strong>\u00a0(2006), 31-36.<\/p>\n

40. Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation,\u00a0J. Dynamics Differential Equations<\/i>\u00a018<\/strong>\u00a0(2006), 461-482.<\/p>\n

39. (with M. Ziane) Regularity of the Navier-Stokes equation in a thin periodic domain with large data,\u00a0Discrete Contin. Dyn. Syst.<\/i>\u00a016<\/strong>\u00a0(2006), 67-86.<\/p>\n

38. Pressure integrability conditions for uniqueness of mild solutions of the Navier-Stokes system,\u00a0J. Diff. Eq.<\/i>\u00a0223<\/strong>\u00a0(2006), 427-441.<\/p>\n

37. (with M. Ziane) One component regularity for the Navier-Stokes equation,\u00a0Nonlinearity<\/i>\u00a019<\/strong>\u00a0(2006), 453-469.<\/p>\n

36. (with J.J. Torres) Weighted bounds for velocity and vorticity for the Navier-Stokes equations,\u00a0Nonlinearity<\/i>\u00a019<\/strong>\u00a0(2006), 293-303.<\/p>\n

35. On Fourier parameterization of global attractors for equations in one space dimension,\u00a0Discrete Contin. Dyn. Syst.<\/i>\u00a013<\/strong>\u00a0(2005), 553-560.<\/p>\n

34. (with M. Malcok) Backward behavior of solutions of the Kuramoto-Sivashinsky equation,\u00a0J. Math. Anal. Appl.<\/i>\u00a0307<\/strong>\u00a0(2005), no. 2, 455-464.<\/p>\n

33. (with J. Robinson) Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem,\u00a0Phys. D<\/i>\u00a0196<\/strong>\u00a0(2004), no. 1-2, 45-66.<\/p>\n

32. Backward uniqueness for solutions of linear parabolic equations,\u00a0Proc. Amer. Math. Soc.<\/i>\u00a0132<\/strong>\u00a0(2004), no.<\/p>\n

31. Spatial complexity of solutions of higher order partial differential equations,\u00a0Nonlinearity\u00a0<\/i>17<\/strong>\u00a0(2004), no. 2, 459-476.<\/p>\n

30. Fourier parameterization of attractors for dissipative equations in one space dimension. Special issue dedicated to Victor A. Pliss on the occasion of his 70th birthday,\u00a0J. Dynam. Differential Equations\u00a0<\/i>15<\/strong>\u00a0(2003), no. 2-3, 473-484.<\/p>\n

29. On local uniqueness of solutions of the Navier-Stokes equations with bounded initial data,\u00a0J. Diff. Eq<\/i>\u00a0194<\/strong>\u00a0(2003), 39-50.<\/p>\n

28. Length of vorticity nodal sets for solutions of the Navier-Stokes system,\u00a0Comm. PDE<\/i>\u00a028<\/strong>\u00a0(2003), 771-793.<\/p>\n

27. (with Z. Grujic) A remark on time-analyticity for the Kuramoto-Sivashinsky equation,\u00a0Nonlinear Analysis<\/i>\u00a052<\/strong>\u00a0(2003), 69-78.<\/p>\n

26. Space-time decay for solutions of the Navier-Stokes equations. Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000),\u00a0Indiana Univ. Math. J.<\/i>\u00a050<\/strong>\u00a0(2001), Special Issue, 205-222.<\/p>\n

25. Interior gradient bounds for the 2D Navier-Stokes system,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a07<\/strong>\u00a0(2001), (2000), 873–882.<\/p>\n

24. (with P. Friz and J. Robinson) Nodal parametrisation of analytic attractors,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a07<\/strong>\u00a0(2001), (2000), 643–657.<\/p>\n

23. (with C. Foias, M.S. Jolly, and E.S. Titi) The Lorenz equation as a metaphor for the Navier-Stokes equations,\u00a0Discrete Contin. Dynam. Systems<\/i>\u00a07<\/strong>\u00a0(2001), 403-429.<\/p>\n

22. Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation,\u00a0Electron. J. Differential Equations<\/i>\u00a02000<\/strong>\u00a0(2000), 1-15 (electronic).<\/p>\n

21. A ladder inequality for the Navier-Stokes equation,\u00a0Nonlinearity<\/i>\u00a013<\/strong>\u00a0(2000), 639-652.<\/p>\n

20. On the dissipative scale for the Navier-Stokes equation,\u00a0Indiana Univ. Math. J.<\/i>\u00a048<\/strong>\u00a0(1999), 1057-1081.<\/p>\n

19. (with Z. Grujic), Space analyticity for the nonlinear heat equation in a bounded domain,\u00a0J. Diff. Eq.<\/i>\u00a0154<\/strong>\u00a0(1999), 42-54.<\/p>\n

18. Self-similar variables and the complex Ginzburg-Landau equation,\u00a0Comm. PDE<\/i>\u00a024<\/strong>\u00a0(1999), 545-562.<\/p>\n

17. (with Z. Grujic), Space analyticity for the Navier-Stokes and related equations with initial data in $L^p$,\u00a0J. Funct. Anal.<\/i>\u00a0152<\/strong>\u00a0(1998), 447-466.<\/p>\n

16. Quantitative uniqueness for second order elliptic operators,\u00a0Duke Math. J.<\/i>\u00a091<\/strong>\u00a0(1998), 225-240.<\/p>\n

15. (with K. Nystrom), Unique continuation on the boundary for Dini domains,\u00a0Proceedings of AMS\u00a0<\/i>126\u00a0<\/strong>(1998), 441-446.<\/p>\n

14. Level sets for the stationary Ginzburg-Landau equation,\u00a0Calc. Var.<\/i>\u00a05\u00a0<\/strong>(1997), 511-521.<\/p>\n

13. (with P. Constantin, C. Foias, and A. Majda), Dirichlet quotients for periodic 2 dimensional Navier-Stokes equations,\u00a0J. Math Pures Appl.<\/i>\u00a076<\/strong>\u00a0(1997), 125-153.<\/p>\n

12. (with C. Foias and M. S. Jolly), Localization of attractors by their analytic properties,\u00a0Nonlinearity<\/i>\u00a09<\/strong>\u00a0(1996), 1565-1581.<\/p>\n

11. Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces,\u00a0J. Diff. Eq.<\/i>126<\/strong>\u00a0(1995), 374-388.<\/p>\n

10. Hausdorff measure of level sets for solutions of parabolic equations,\u00a0Internat. Math. Res. Notices<\/i>No. 13 (1995) 671-682.<\/p>\n

9. Nodal volumes for eigenfunctions of analytic regular elliptic problems,\u00a0J. d’Analyse Mathematique<\/i>\u00a067<\/strong>\u00a0(1995), 269-280.<\/p>\n

8. (with C. Foias), Determining nodes for the Kuramoto-Sivashinsky equation,\u00a0J. Dynam. Diff. Eq.\u00a0<\/i>7<\/strong>\u00a0(1995), 365-373.<\/p>\n

7. Hausdorff length of level sets for solutions of the Ginzburg-Landau equation,\u00a0Nonlinearity<\/i>\u00a08<\/strong>\u00a0(1995) , 113-129.<\/p>\n

6. Oscillations of solutions of the Kuramoto-Sivashinsky equation,\u00a0Physica D\u00a0<\/i>76<\/strong>\u00a0(1994), 369-374.<\/p>\n

5. An absence of certain class of periodic solutions in the Navier-Stokes equations,\u00a0J. Dynam. Diff. Eq.<\/i>\u00a06<\/strong>\u00a0(1994), 175-183.<\/p>\n

4. An upper bound for the winding number for solutions of the Ginzburg-Landau equation,\u00a0Indiana Univ. Math. J.\u00a0<\/i>41<\/strong>\u00a0(1992), 825-836.<\/p>\n

3. On the number of determining nodes for the Ginzburg-Landau equation,\u00a0Nonlinearity\u00a0<\/i>5<\/strong>\u00a0(1992), 997-1006.<\/p>\n

2. On the behavior of the solutions of the Kuramoto-Sivashinsky equations for negative time,\u00a0J. Math. Anal. Appl.<\/i>\u00a0166<\/strong>\u00a0(1992), 601-606.<\/p>\n

1. On the time analyticity radius of the solutions of the 2 dimensional Navier-Stokes equations,\u00a0J. Dynam. Diff. Eq.<\/i>\u00a03<\/strong>\u00a0(1991), 611-618.<\/p>\n\n\n\n<\/div>\n\n\n <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":279,"featured_media":146,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-185","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"\nPublications - Kukavica Igor<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/igor-kukavica\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publications - Kukavica Igor\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/igor-kukavica\/publications\/\" \/>\n<meta property=\"og:site_name\" content=\"Kukavica Igor\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-30T02:06:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/dornsife.usc.edu\/igor-kukavica\/wp-content\/uploads\/sites\/218\/2023\/06\/image-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1478\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/igor-kukavica\/publications\/\",\"url\":\"https:\/\/dornsife.usc.edu\/igor-kukavica\/publications\/\",\"name\":\"Publications - 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