Research Interests
Analysis and PDEs arising in fluid and gas dynamics, kinetic theory, plasma physics, and astrophysics
- Moving boundary value problems for compressible Euler and Navier-Stokes equations
- Stability theory for compressible fluids driven by gravity
- Hydrodynamic limits from the kinetic equations
- Kinetic boundary value problems
Selected Recent Publications
- Larson-Penston Self-similar Gravitational Collapse (with Yan Guo and Mahir Hadzic), Communications in Mathematical Physics 386 (2021), no. 3, 1551-1601
- Incompressible Euler limit from Boltzmann equation with Diffuse Boundary Condition for Analytic data (with Chanwoo Kim), Annals of PDE (2021) 7:22
- Continued Gravitational Collapse for Newtonian Stars (with Yan Guo and Mahir Hadzic), Archive for Rational Mechanics and Analysis 239 (2021), 431-552
- Expanding large global solutions of the equations of compressible fluid mechanics (with Mahir Hadzic), Inventiones mathematicae 214 (2018), no. 3, 1205-1266
- 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
A complete list can be found at Publications.