155. (with L. Li and A. Tuffaha) On the local existence of solutions to the Navier-Stokes-wave system with a free interface (submitted), arXiv:2202.02707.

154. (with W. Ozanski and A. Tuffaha) On the global existence for a fluid-structure model with small data (submitted), arXiv:2110.15284v1.

153. (with F. Xu), Local existence of strong solutions to the stochastic Navier-Stokes equations with $L^{p}$ data (submitted), arXiv:2110.07091.

152. (with D. Massatt and M. Ziane), Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions (submitted), arXiv:2109.14672.

151. (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), arXiv:2106.13961.

150. (with Q. Li), On quantitative uniqueness for parabolic equations (submitted), arXiv:2107.11698.

149. (with Z. Bradshaw and W. Ozanski), Global existence for the Navier-Stokes equations in the half-space (submitted) arXiv:2012.15848.

148. (with J. Jang and L. Li), Mach limits in analytic spaces on exterior domains, Discrete Contin. Dynam. Systems 32 (to appear), arXiv:2105.14147.

147. (with T. Nguyen, V. Vicol, and F. Wang), On the Euler+Prandtl expansion for the Navier-Stokes equations, J. Math. Fluid Mechanics (to appear), arXiv:2107.03417.

146. (with M. Novack and V. Vicol), Exact boundary controllability for the ideal Magneto-Hydrodynamic Equations, J. Diff. Eq. (to appear), arXiv:2108.12089.

145. (with W. Ozanski), An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range Applied Mathematics Letters (to appear), arXiv:2102.06152.

144. (with D. Massatt) On the global existence for the Kuramoto-Sivashinsky equation, J. Dynam. Diff. Eq. (to appear).

143. (with V. Vicol and F. Wang) Remarks on the inviscid limit problem for the Navier-Stokes equations, Pure and Applied Functional Analysis (to appear).

142. (with Z. Bradshaw and T.-P. Tsai), Existence of global weak solutions to the Navier-Stokes equations in weighted spaces, Indiana University Math. J. (to appear), arXiv:1910.06929.

141. (with J. Jang and L. Li), Lagrangian time-analyticity for the Euler equations in a Sobolev domain, Mathematical Research Letters (to appear), arXiv:2202.06113.

140. (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 **10** (2021), 160–189.

139. (with J. Jang and L. Li), Mach limits in analytic spaces, Journal of Differential Equations **299** (2021), 284–332.

138. (with W. Wang), Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity, J. Dynam. Diff. Eq. **32** (2020), 2061–2077.

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. **237** (2020), 779–827.

136. (with G. Camliyurt and V. Vicol), Analyticity up to the boundary for the Stokes and the Navier-Stokes systems, Transactions of AMS **373** (2020), 3375–3422.

135. (with W. Wang), Global Sobolev persistence for the fractional Boussinesq equation with zero diffusivity, Pure and Applied Functional Analysis **5** (2020), 27–45.

134. (with Z. Bradshaw) Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data, J. Math. Fluid Mechanics **22** (2020), paper no. 3, 20pp.

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. **51** (2019), 3982–4022.

132. (with M. Disconzi), A priori estimates for the free-boundary Euler equations with surface tension in three dimensions, Nonlinearity **32**(2019), 3369–3405.

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 **8** (2019), 503-542.

130. (with F. Xu), Local existence for the stochastic Euler equations with Levy noise, Asymptotic Analysis **113** (2019), 1–27.

129. (with W. Rusin and M. Ziane), On local regularity conditions for the Navier-Stokes equations, Nonlinearity **32**(2019) 1905–1928.</>

128. (with G. Camliyurt and F. Wang), On quantitative uniqueness for elliptic equations, Math. Z. **1–2** (2019), 227–244.

127. (with G. Camliyurt and V. Vicol), Gevrey regularity of the Navier-Stokes in a half-space, J. Diff. Eq. **265** (2018), 4052–4075.

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–-96, London Math. Soc. Lecture Note Ser., 452, Cambridge Univ. Press, Cambridge, 2018.

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

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.

123. with I. Ekren and M. Ziane, Existence of invariant measures for the stochastic damped KdV equation, Indiana Univ. Math. J. **67** (2018), 1221–1254.

122. (with G. Camliyurt), On the Lagrangian and Eulerian analyticity for the Euler equations, Physica D **376–377** (2018), 121–130.

121. (with F. Wang), Far field regularity for the supercritical quasi-geostrophic equation, Communications in Mathematical Sciences **16** (2018), 393–410.

120. (with G. Camliyurt), Quantitative unique continuation for a parabolic equation, Indiana Univ. Math. J. **67** (2018), 657-678.

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 **356** (2018), 306-311.

118. (with A. Tuffaha), A sharp regularity result for the Euler equation with a free interface, Asymptotic Analysis **106** (2018), 121-145.

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 **31** (2018), 173–-186.

116. (with A. Tuffaha and V. Vicol), On the local existence for the 3D Euler equation with a free interface, Appl. Math. Optim. **76** (2017), 535-563.

115. (with W. Rusin and M. Ziane), Localized anisotropic regularity conditions for the Navier-Stokes equations, Journal of Nonlinear Science **27** (2017), 1725-1742.

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

113. (with I. Ekren and M. Ziane), Existence of invariant measures for some damped stochastic dispersive equations, C. R. Math. Acad. Sci. Paris **355** (2017), 676-679.

112. (with W. Rusin and M. Ziane), An anisotropic partial regularity criterion for the Navier-Stokes equations, J. Math. Fluid Mech. **19** (2017), 123-133.

111. (with M. Ignatova, I. Lasiecka, and A. Tuffaha), Small data global existence for a fluid-structure model, Nonlinearity **30** (2017), 848-898.

110. (with V. Vicol and F. Wang), The van Dommelen and Shen singularity in the Prandtl equations, Advances in Mathematics **307** (2017), 288-311.

109. (with G. Camliyurt), A local asymptotic expansion for a solution of the Stokes system, Evol. Equ. Control Theory **5** (2016), 647-659.

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.

107. (with M. Ignatova), On the local existence of the free-surface Euler equation with surface tension, Asymptotic Analysis **100** (2016), 63-86.

106. (with P. Constantin and V. Vicol), Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations, Ann. I. Poincar\’e **33** (2016), 1569-1588.

105. (with M. Sammartino and M.C. Lombardo), Zero viscosity limit for analytic solutions of the primitive equations, Arch. Rational Mech. Anal. **222** (2016), 14-45.

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. **73** (2016), 523-544.

103. (with A. Bensoussan, I. Lasiecka, S. Mitter, R. Temam, and R. Triggiani),Preface: In memory of A.V. Balakrishnan Appl. Math. Optim. **73** (2016), 391-392.

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-L\’opez editors, London Mathematical Society Lecture Note Series (2016), 77-95.

101. (with Z. Bradshaw and Z. Gruji\’c), 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-L\’opez editors, London Mathematical Society Lecture Note Series (2016), 22-36.

100. (with M. Ignatova and L. Ryzhik), The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity, *Comm. PDE* **41** (2016), 208-226.

99. (with F. Wang and M. Ziane), Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces, *Adv. Diff. Eq.* **21** (2016), 85-108.

/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. **259** (2015), 3955-3975.

97. (with F. Wang), Weighted decay for the surface quasi-geostrophic equation, *Commun. Math. Sci.* **13** (2015), 1599-1614.

96. (with P. Constantin and V. Vicol), On the inviscid limit of the Navier-Stokes equations, *Proceedings of AMS* **143** (2015), 3075-3090.

95. (with M. Coti Zelati, A. Huang, R. Temam, and M. Ziane), The primitive equations of the atmosphere in presence of vapor saturation, Nonlinearity **28** (2015), 625-668.

94. (with W. Hu and M. Ziane), Sur l’existence locale pour une equation de scalaire actif, *C. R. Math. Acad. Sci. Paris* **353** (2015), 241-245.

93. (with W. Hu and M. Ziane), Persistence of regularity for a viscous Boussinesq equations with zero diffusivity, *Asymptotic Analysis* **91** (2015), 111-124.

92. (with N. Glatt-Holtz, V. Vicol, and M. Ziane), Existence and regularity of invariant measures for the three dimensional stochastic primitive equations, *J. Math. Phys.* **55** (2014), 34 pp.

91. (with V. Vicol), Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain, *Asymptotic Analysis* **90** (2014), 189-206.

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, *SIAM J. Math. Anal.* **46** (2014), 3865-3890.

89. (with S. Benachour, W. Rusin, and M. Ziane), Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky *equation, J. Dynamics Diff. Eq.* **26** (2014), 461-476.

88. (with W. Rusin and M. Ziane), A class of large BMO^{{-1}} non-oscillatory data for the Navier-Stokes equations, *J. Math. Fluid Mechanics* **16** (2014), 293-305.

87. (with Y. Pei, W. Rusin, and M. Ziane), Primitive equations with continuous initial data, Nonlinearity **27** (2014), 1135-1155.

86. (with A. Tuffaha), A regularity result for the incompressible Euler equation with a free interface, *Applied Mathematics and Optimization*, Appl. Math. Optim. **69** (2014), 337-358.

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, *Nonlinearity* **27** (2014), 467-499. <\p>

84. (with M. Ignatova and L. Ryzhik), The Harnack inequality for second-order elliptic equations with divergence-free drifts, *Communications in Math. Sciences* (to appear).

83. (with W. Hu and M. Ziane), On the regularity for the Boussinesq equations in a bounded domain, *J. Math. Phys.* **54** (2013), 10 pp.

82. (with W. Rusin and M. Ziane), A class of solutions of the Navier-Stokes equations with large data, *J. Diff Eq.* (to appear).

81. (with W. Rusin and M. Ziane), Solutions of the Navier-Stokes equations for large oscillatory data, *Adv. Differential Equations* **18** (2013), 549-586.

80. (with A. Mazzucato and A. Tuffaha), Sharp trace regularity for an anisotropic elasticity system, *Proc. Amer. Math. Soc.* **141**, 2673-2682.

79. (with M. Ignatova), Strong unique continuation for the Navier-Stokes equation with non-analytic forcing, *J. Dynam. Diff. Eq* **25** (2013), 1-15.

78. (with V. Vicol), On the local existence of analytic solutions to the Prandtl boundary layer equations, *Commun. Math. Sci* **11** (2013), 269-292.

77. (with A. Tuffaha), Regularity of solutions of a free boundary problem of fluid-structure interaction, Indiana Univ. Math. J. **61** (2012), 1817-1859.

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.

75. (with A. Tuffaha), On the 2D free boundary Euler equation, *Evolution Equations and Control Theory* **1** (2012), 297-314.

74. (with M. Ignatova and M. Ziane), Local existence of solutions to the free boundary value problem for the primitive equations of the ocean, *Journal of Mathematical Physics* **53** (2012), 17pp. (to appear).

73. (with M. Ignatova, I. Lasiecka, and A. Tuffaha), On well-posedness for a free boundary fluid-structure model, *J. Math. Phys.* **53** (2012), 13 pp.

72. (with C. Doering and E.S. Titi), Introduction to special issue: Incompressible fluids, turbulence and mixing, *J. Math. Phys.* **11** (2012), 3 pp.

71. (with A. Tuffaha), Well-posedness for the compressible Navier-Stokes-Lam’e system with a free interface, *Nonlinearity* **25** (2012), 3111-3137.

70. (with Y. Pei), An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system, *Nonlinearity* **25** (2012), 2775-2783.

69. (with M. Ignatova), Strong unique continuation for higher order elliptic equations with Gevrey coefficients, *J. Diff. Eq.* **252** (2012), 2983-3000.

68. (with A. Tuffaha), Solutions to a fluid-structure interaction free boundary problem, *Discrete Contin. Dyn. Syst.* **32** (2012), no. 4, 1355â€“1389.

67. (with V. Vicol), On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations, *Nonlinearity* **4** (2011), 765-796.

66. (with A. Tuffaha and M. Ziane), Strong solutions to a Navier-Stokes-Lame’ system on a domain with a non-flat boundary, *Nonlinearity* **24** (2011), 159-176.

65. (with E. Reis), Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces, *J. Diff. Eq.* **250** (2011), 607-622.

64. (with R. Temam, V. Vicol, and M. Ziane), Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain, *J. Diff. Eq.* **250** (2011), 1719-1746.

63. Partial regularity for the Navier-Stokes equations with a force in a Morrey space, *J. Math. Anal. Appl.* **374** (2011), 573-584.

62. (with V. Vicol), Domain of analyticity for solutions of the three-dimensional Euler equations in half space, *Discrete Contin. Dynam. Systems* **29** (2011), 285-303.

61. (with R. Temam, V. Vicol, and M. Ziane), Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain, *C. R. Math. Acad. Sci. Paris* **348** (2010), 639-645.

60. (with M. Ignatova), Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients, *Adv. Diff. Eq.* **15** (2010), 953-975.

59. On regularity for the Navier-Stokes equations in Morrey spaces, *Discrete Contin. Dynam. Systems* **26** (2010), 1319-1328.

58. (with A. Tuffaha and M. Ziane), Strong solutions to a fluid structure interaction system, *Adv. Diff. Eq.* **15** (2010), 231-254.

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.

56. The fractal dimension of the singular set for solutions of the Navier-Stokes system, *Nonlinearity* **22** (2009), 2889-2900.

55. (with A. Tuffaha and M. Ziane), Strong solutions to a nonlinear fluid structure interaction system, *J. Diff. Eq.* **247** (2009), 1452-1478.

54. On the weighted decay for solutions of the Navier-Stokes system, *Nonlinear Anal.* **70** (2009), 2466-2470.

53. (with Vlad Vicol), On the radius of analyticity of solutions to the three-dimensional Euler equations, *Proc. Amer. Math. Soc.* **137** (2008), 669-677.

52. (with M. Ziane), Uniform gradient bounds for the primitive equations of the ocean, *Differential Integral Equations* **21** (2008), 837-849.

50. (with Vlad Vicol), On local uniqueness of weak solutions to the Navier-Stokes system with $BMO^-1$ initial datum, *J. Dynam. Differential Equations* **20** (2008), 719-732.

49. On partial regularity for the Navier-Stokes equations, *Discrete Contin. Dynam. Systems* **21** (2008), 717-728.

48. (with M. Ziane), On the Regularity of the primitive equations of the ocean, *Nonlinearity* **20** (2007), 2739-2753.

47. (with M. Ziane), The regularity of solutions of the primitive equations of the ocean in space dimension three, *C. R. Math. Acad. Sci. Paris* **345** (2007), 257-260.

46. (with M. Ziane) Navier-Stokes equation with regularity in one direction, *J. Math. Phys.* **48** (2007), 10pp.

45. (with J.J. Torres) Weighted $L^p$ decay for solutions of the Navier-Stokes equations, *Comm. Partial Differential Equations*, **32** (2007), 819Â831.

44. Log-log convexity and backward uniqueness, *Proc. Amer. Math. Soc.* **135** (2007), 2415-2421.

43. (with M. Ziane) On the regularity of the Navier-Stokes equation in a thin periodic domain, *J. Differential Equations* **234** (2007), 485-506.

42. (with M. Ziane) Sur la re’gularite’ des e’quations de Navier-Stokes dans un domaine mince pe’riodique, *C. R. Acad. Sci. Paris, Ser. I* **344** (2007), 97-102.

41. (with M. Ziane) Re’gularite’ conditionnelle des e’quations de Navier-Stokes, *C. R. Acad. Sci. Paris, Ser. I* **343** (2006), 31-36.

40. Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation, *J. Dynamics Differential Equations* **18** (2006), 461-482.

39. (with M. Ziane) Regularity of the Navier-Stokes equation in a thin periodic domain with large data, *Discrete Contin. Dyn. Syst.* **16** (2006), 67-86.

38. Pressure integrability conditions for uniqueness of mild solutions of the Navier-Stokes system, *J. Diff. Eq.* **223** (2006), 427-441.

37. (with M. Ziane) One component regularity for the Navier-Stokes equation, *Nonlinearity* **19** (2006), 453-469.

36. (with J.J. Torres) Weighted bounds for velocity and vorticity for the Navier-Stokes equations, *Nonlinearity* **19** (2006), 293-303.

35. On Fourier parameterization of global attractors for equations in one space dimension, *Discrete Contin. Dyn. Syst.* **13** (2005), 553-560.

34. (with M. Malcok) Backward behavior of solutions of the Kuramoto-Sivashinsky equation, *J. Math. Anal. Appl.* **307** (2005), no. 2, 455-464.

33. (with J. Robinson) Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem, *Phys. D* **196** (2004), no. 1-2, 45-66.

32. Backward uniqueness for solutions of linear parabolic equations, *Proc. Amer. Math. Soc.* **132** (2004), no.

31. Spatial complexity of solutions of higher order partial differential equations, *Nonlinearity ***17** (2004), no. 2, 459-476.

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, *J. Dynam. Differential Equations ***15** (2003), no. 2-3, 473-484.

29. On local uniqueness of solutions of the Navier-Stokes equations with bounded initial data, *J. Diff. Eq* **194** (2003), 39-50.

28. Length of vorticity nodal sets for solutions of the Navier-Stokes system, *Comm. PDE* **28** (2003), 771-793.

27. (with Z. Grujic) A remark on time-analyticity for the Kuramoto-Sivashinsky equation, *Nonlinear Analysis* **52** (2003), 69-78.

26. Space-time decay for solutions of the Navier-Stokes equations. Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000), *Indiana Univ. Math. J.* **50** (2001), Special Issue, 205-222.

25. Interior gradient bounds for the 2D Navier-Stokes system, *Discrete Contin. Dynam. Systems* **7** (2001), no.

24. (with P. Friz and J. Robinson) Nodal parametrisation of analytic attractors, *Discrete Contin. Dynam. Systems* **7** (2001), no.

23. (with C. Foias, M.S. Jolly, and E.S. Titi) The Lorenz equation as a metaphor for the Navier-Stokes equations, *Discrete Contin. Dynam. Systems* **7** (2001), 403-429.

22. Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation, *Electron. J. Differential Equations* **2000** (2000), 1-15 (electronic).

21. A ladder inequality for the Navier-Stokes equation, *Nonlinearity* **13** (2000), 639-652.

20. On the dissipative scale for the Navier-Stokes equation, *Indiana Univ. Math. J.* **48** (1999), 1057-1081.

19. (with Z. Grujic), Space analyticity for the nonlinear heat equation in a bounded domain, *J. Diff. Eq.* **154** (1999), 42-54.

18. Self-similar variables and the complex Ginzburg-Landau equation, *Comm. PDE* **24** (1999), 545-562.

17. (with Z. Grujic), Space analyticity for the Navier-Stokes and related equations with initial data in $L^p$, *J. Funct. Anal.* **152** (1998), 447-466.

16. Quantitative uniqueness for second order elliptic operators, *Duke Math. J.* **91** (1998), 225-240.

15. (with K. Nystrom), Unique continuation on the boundary for Dini domains, *Proceedings of AMS ***126 **(1998), 441-446.

14. Level sets for the stationary Ginzburg-Landau equation, *Calc. Var.* **5 **(1997), 511-521.

13. (with P. Constantin, C. Foias, and A. Majda), Dirichlet quotients for periodic 2 dimensional Navier-Stokes equations, *J. Math Pures Appl.* **76** (1997), 125-153.

12. (with C. Foias and M. S. Jolly), Localization of attractors by their analytic properties, *Nonlinearity* **9** (1996), 1565-1581.

11. Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces, *J. Diff. Eq.***126** (1995), 374-388.

10. Hausdorff measure of level sets for solutions of parabolic equations, *Internat. Math. Res. Notices*No. 13 (1995) 671-682.

9. Nodal volumes for eigenfunctions of analytic regular elliptic problems, *J. d’Analyse Mathematique* **67** (1995), 269-280.

8. (with C. Foias), Determining nodes for the Kuramoto-Sivashinsky equation, *J. Dynam. Diff. Eq. ***7** (1995), 365-373.

7. Hausdorff length of level sets for solutions of the Ginzburg-Landau equation, *Nonlinearity* **8** (1995) , 113-129.

6. Oscillations of solutions of the Kuramoto-Sivashinsky equation, *Physica D ***76** (1994), 369-374.

5. An absence of certain class of periodic solutions in the Navier-Stokes equations, *J. Dynam. Diff. Eq.* **6** (1994), 175-183.

4. An upper bound for the winding number for solutions of the Ginzburg-Landau equation, *Indiana Univ. Math. J. ***41** (1992), 825-836.

3. On the number of determining nodes for the Ginzburg-Landau equation, *Nonlinearity ***5** (1992), 997-1006.

2. On the behavior of the solutions of the Kuramoto-Sivashinsky equations for negative time, *J. Math. Anal. Appl.* **166** (1992), 601-606.

1. On the time analyticity radius of the solutions of the 2 dimensional Navier-Stokes equations, *J. Dynam. Diff. Eq.* **3** (1991), 611-618.

Last update: *February 27, 2022*