Publications
  • Existence of rotating stars with variable entropy (with Walter Strauss and Allen Wu), SIAM Journal on Mathematical Analysis 55 (2023), no. 4, 2704-2739
  • Passage from the Boltzmann equation with Diffuse Boundary to the Incompressible Euler equation with Heat Convection (with Yunbai Cao and Chanwoo Kim), Journal of Differential Equations 366 (2023), 565-644
  • Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain (with Junha Kim), Calculus of Variations and Partial Differential Equations, 62 (2023), no. 5, Paper No. 141, 61 pp
  • Naked Singularities in the Einstein-Euler system (with Yan Guo and Mahir Hadzic), Annals of PDE (2023) 9:4
  • Gravitational Collapse for Polytropic Gaseous Stars: Self-similar Solutions (with Yan Guo, Mahir Hadzic and Matthew Schrecker), Archive for Rational Mechanics and Analysis, 246 (2022), 957-1066
  • On uniformly rotating binary stars and galaxies (with Jinmyoung Seok), Archive for Rational Mechanics and Analysis, 244 (2022), 443-499
  • Mach limits in analytic spaces on exterior domains (with Igor Kukavica ad Linfeng Li), Discrete and Continuous Dynamical Systems, 42 (2022), 3629-3659
  • Kinetic description of stable white dwarfs (with Jinmyoung Seok), Kinetic and Related Models, 15 (2022), 605–620
  • Incompressible Euler limit from Boltzmann equation with Diffuse Boundary Condition for Analytic data (with Chanwoo Kim), Annals of PDE (2021) 7:22
  • Larson-Penston Self-similar Gravitational Collapse (with Yan Guo and Mahir Hadzic), Communications in Mathematical Physics 386 (2021), no. 3, 1551-1601
  • Mach limits in analytic spaces (with Igor Kukavica ad Linfeng Li), Journal of Differential Equations 299 (2021), 284-332
  • Continued Gravitational Collapse for Newtonian Stars (with Yan Guo and Mahir Hadzic), Archive for Rational Mechanics and Analysis 239 (2021), 431-552
  • Global existence of the nonisentropic compressible Euler equations with vacuum boundary surrounding a variable entropy state (with Calum Rickard and Mahir Hadzic), Nonlinearity 34 (2021), no. 1, 33-91
  • Global expanding solutions of compressible Euler equations with small initial densities (with Shrish Parmeshwar and Mahir Hadzic), Quarterly of Applied Mathematics 79 (2021), 273-334
  • Linearized Analysis of Barotropic Perturbations around Spherically Symmetric Gaseous Stars Governed by the Euler-Poisson Equations (with Tetu Makino), Journal of Mathematical Physics 61 (2020), 051508
  • A class of global solutions to the Euler-Poisson system (with Mahir Hadzic), Communications in Mathematical Physics 370 (2019), no 2, 475-505
  • Existence of Rotating Magnetic Stars (with Walter Strauss and Yilun Wu), Physica D: Nonlinear Phenomena 397 (2019), 65-74
  • On Rotating Axisymmetric Solutions of the Euler-Poisson Equations (with Tetu Makino), Journal of Differential Equations 266 (2019), no. 7, 3942-3972
  • Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions (with Hyung Ju Hwang and Juan J. L. Velázquez), Archive for Rational Mechanics and Analysis 231 (2019), no. 3, 1309-1400
  • On the structure of the singular set for the kinetic Fokker-Planck equations with boundaries (with Hyung Ju Hwang and Juan J. L. Velázquez), Quarterly of Applied Mathematics 77 (2019), 19-70
  • Expanding large global solutions of the equations of compressible fluid mechanics (with Mahir Hadzic), Inventiones mathematicae 214 (2018), no. 3, 1205-1266
  • The Fokker-Planck equation with absorbing boundary conditions in bounded domains (with Hyung Ju Hwang and Jaewoo Jung), SIAM Journal on Mathematical Analysis 50 (2018), no. 2, 2194-2232
  • Nonlinear stability of expanding star solutions in the radially-symmetric mass-critical Euler-Poisson system (with Mahir Hadzic), Communications on Pure and Applied Mathematics 71 (2018), no.5, 827-891
  • On slowly rotating axisymmetric solutions of the Euler-Poisson equations (with Tetu Makino), Archive for Rational Mechanics and Analysis 225 (2017), no. 2, 873-900
  • Dynamics of expanding gases (with Mahir Hadzic), Proceedings of RIMS symposium on Mathematical Analysis in Fluid and Gas Dynamics in RIMS Kôkyûroku series, No. 2038 (2017)
  • On a randomly accelerated particle (with Michelle Nuno), Involve, a Journal of Mathematics 10 (2017), no. 3, 399-415
  • Time periodic approximations of the Euler-Poisson system near Lane-Emden stars, Analysis & PDE 9 (2016), no. 5, 1043–1078
  • The compressible viscous surface-internal wave problem: local well-posedness (with Ian Tice and Yanjin Wang), SIAM Journal on Mathematical Analysis 48 (2016), no. 4, 2602-2673
  • The Compressible Viscous Surface-Internal Wave Problem: Stability and Vanishing Surface Tension Limit (with Ian Tice and Yanjin Wang), Communications in Mathematical Physics 343 (2016), no. 3, 1039-1113
  • The Compressible Viscous Surface-Internal Wave Problem: Nonlinear Rayleigh–Taylor Instability (with Ian Tice and Yanjin Wang), Archive for Rational Mechanics and Analysis 221 (2016), no. 1, 215-272
  • Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum (with Philippe LeFloch and Nader Masmoudi), Journal of Differential Equations 260 (2016), no. 6, 5481-5509
  • Passive scalars, moving boundaries, and Newton’s law of cooling (with Ian Tice), Discrete and Continuous Dynamical Systems – Series A 36 (2016), no. 3, 1383-1413
  • Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions (with Eun Heui Kim), Journal of Differential Equations 260 (2016), no. 1, 445-477
  • High Order Asymptotic Preserving Nodal Discontinuous Galerkin IMEX Schemes for the BGK Equation (with Fengyan Li, Jing-Mei Qiu and Tao Xiong), Journal of Compuational Physics 284 (2015) 70-94
  • High Order Asymptotic Preserving DG-IMEX Schemes for Discrete-Velocity Kinetic Equations in a Diffusive Scaling (with Fengyan Li, Jing-Mei Qiu and Tao Xiong), Journal of Compuational Physics 281 (2015) 199–224
  • On the kinetic Fokker-Planck equation in a half-space with absorbing barriers (with Hyung Ju Hwang and Jaewoo Jung), Indiana University Mathematics Journal 64 (2015), no. 6, 1767-1804
  • Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling (with Fengyan Li, Jing-Mei Qiu and Tao Xiong), SIAM Journal on Numerical Analysis 52 (2014), no. 4, 2048–2072
  • The Fokker-Planck equation with absorbing boundary conditions (with Hyung Ju Hwang and Juan J. L. Velázquez), Archive for Rational Mechanics and Analysis 214 (2014), no. 1, 183–233
  • Well-posedness of compressible Euler equations in a physical vacuum (with Nader Masmoudi), Communications on Pure and Applied Mathematics 68 (2015) no. 1, 61-111
  • Nonlinear Instability Theory of Lane-Emden stars, Communications on Pure and Applied Mathematics 67 (2014) no. 9, 1418–1465
  • Instability theory of the Navier-Stokes-Poisson equations (with Ian Tice), Analysis & PDE 6 (2013), no. 5, 1121-1181
  • On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian (with Hyung Ju Hwang), Discrete and Continuous Dynamical Systems – Series B 18 (2013), no. 3, 681-691
  • Well and ill-posedness for compressible Euler equations with vacuum (with Nader Masmoudi), Journal of Mathematical Physics 53 (2012), no.11, 115625
  • Derivation of Ohm’s law from the kinetic equations (with Nader Masmoudi), SIAM Journal on Mathematical Analysis 44 (2012), no. 5, 3649-3669
  • Smooth global solutions for the two-dimensional Euler Poisson system (with Dong Li and Xiaoyi Zhang), Forum Mathematicum, 26 (2014), no. 3, 645–701
  • The two-dimensional Euler-Poisson System with Spherical Symmetry, Journal of Mathematical Physics 53 (2012) no. 2, 023701
  • Vacuum in Gas and Fluid dynamics (with Nader Masmoudi), The IMA Volumes in Mathematics and its Applications, 153 Springer (2011), 315-329
  • Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system (with Yan Guo), Communications in Mathematical Physics 299 (2010), no. 2, 469-501
  • Acoustic Limit for the Boltzmann equation in Optimal Scaling (with Yan Guo and Ning Jiang), Communications on Pure and Applied Mathematics 63 (2010), no. 3, 337-361
  • Acoustic limit of the Boltzmann equation: classical solutions (with Ning Jiang), Discrete and Continuous Dynamical Systems – Series A 25 (2009), no. 3, 869-882
  • Local Hilbert Expansion for the Boltzmann equation (with Yan Guo and Ning Jiang), Kinetic and Related Models 2 (2009), no. 1, 205-214
  • Well-posedness for compressible Euler equations with physical vacuum singularity (with Nader Masmoudi), Communications on Pure and Applied Mathematics 62 (2009), no. 10, 1327-1385
  • Local Well-Posedness of Dynamics of Viscous Gaseous Stars, Archive for Rational Mechanics and Analysis 195 (2010), no. 3, 797-863
  • Vlasov-Maxwell-Boltzmann diffusive limit, Archive for Rational Mechanics and Analysis 194 (2009), no. 2, 531-584
  • Nonlinear Instability in Gravitational Euler-Poisson system for gamma=6/5, Archive for Rational Mechanics and Analysis 188 (2008), no. 2, 265-307

* Most of my papers including recent preprints are available on arXiv.org and the final versions can be obtained on request. *

 

Preprints
  • Small-data global existence of solutions for the Pitaevskii model of superfluidity (with Pranava Jayanti and Igor Kukavica), submitted
  • Nonradial stability of self-similarly expanding Goldreich-Weber stars (with Mahir Hadzic and King Ming Lam), preprint
  • On the mass transfer of the 3D Pitaevskii model (with Pranava Jayanti and Igor Kukavica), preprint
  • On self-similar converging shock waves (with Jiaqi Liu and Matthew Schrecker), preprint