Publication

For the full publication information (e.g. journal) please see link(mathscinet).  To get the online preprints please chick link(Arxiv.org)  

               2024              

               2023              

1. 1. Validity of Prandtl's boundary layer from the Boltzmann theory (Trinh T. Nguyen)

   2. Hydrodynamic limit toward Compressible Euler equations in Real Analytic spaces (Gichan Bae)

   3. Vorticity formulation of 2D Boltzmann equations in High Reynolds number limits (Gichan Bae, Trinh T. Nguyen)

   4. Asymptotic Stability of 3D relativistic Collisionless plasma states in a constant magnetic field with a boundary (Jiaxin Jin), link, video (the Parker solar probe touches the Sun) 

   5. Macroscopic estimate of the linear Boltzmann and Landau equations with Specular reflection boundary (Hongxu Chen), link

   6. Boundary effect under 2D Newtonian gravity in the phase space (Jiaxin Jin), link

   7. Gradient Decay in the Boltzmann theory of Non-isothermal boundary (Hongxu Chen), Arch. Rational Mech. Anal. link

   8. Dynamical Billiard and a long-time behavior of the Boltzmann equation in general 3D toroidal domains (Gyounghun Ko, Donghyun Lee), link

   9. Asymptotics of Helmholtz-Kirchhoff Point-Vortices in the Phase Space (Trinh T. Nguyen), link

               2022              

1. 10. Nonlinear asymptotic stability of inhomogeneous steady solutions to boundary problems of Vlasov-Poisson equation, link

   11. Exponential Mixing of Vlasov equations under the effect of Gravity and Boundary (Jiaxin Jin), accepted in JDE, link, presentation

   12. Vorticity Convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class (Joonhyun La), link

   13. Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition (Yunbai Cao), accepted in CMP, link

               2021              

1. 14. Holder Regularity of the Boltzmann equation Past an Obstacle (Donghyun Lee), accepted in Comm. Pure Appl. Math., link

   15. Glassey-Strauss representation of Vlasov-Maxwell systems in a Half Space (Yunbai Cao), the KRM memorial issue for Bob Glassey, link

   16. Passage from the Boltzmann equation with Diffuse Boundary to the Incompressible Euler equation with Heat Convection (Yunbai Cao, Juhi Jang), accepted in JDE, link

   17. A note on acoustic limit for the Boltzmann equation (Juhi Jang), In: Salvarani F. (eds) Recent Advances in Kinetic Equations and Applications. Springer INdAM Series, vol 48 (2021), link

               2020              

1. 18. Damping of kinetic transport equation with diffuse boundary condition (Jiaxin Jin), SIAM J. Math. Anal., link

   19. On Some Recent Progress in the Vlasov-Poisson-Boltzmann System with Diffuse Reflection Boundary (Yunbai Cao), In: Salvarani F. (eds) Recent Advances in Kinetic Equations and Applications. Springer INdAM Series, vol 48 (2021), link  

   20. Regularity of Stationary Boltzmann equation in Convex Domains (Hongxu Chen), Arch. Rational Mech. Anal., link

   21. Incompressible Euler limit from Boltzmann equation with Diffuse Boundary Condition for Analytic data (Juhi Jang), Annals of PDE, link

   22. Diffusive limits of the Boltzmann equation in bounded domain (R.Esposito, Y. Guo, R.Marra), Ann. Appl. Math., 36, 111-185 (2020) link

               years ≤2019              

1. 23. Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains, (Y.Cao, D.Lee), Arch. Rational Mech. Anal. 233 (3), 1027–1130 (2019) sharedit link

   24. Local Well-posedness of Vlasov-Possion-Boltzmann system with generalized diffuse boundary condition, (H.Chen, Q.Li) Journal of Statistical Physics 179, 535-631 (2020) link

   25. Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains, (D.Lee), Arch. Rational Mech. Anal. 230(1), 49-123 (2018)  sharedit link

   26. Dynamics and Stability of Surface Waves with Surfactants, (I.Tice), SIAM J. Math. Anal., 49(2), 1295–1332 (2017) link

   27. The Boltzmann equation with specular boundary condition in convex domains, (D. Lee), Comm. Pure Appl. Math., 71, 411-504 (2018) link, Award by Korean Math Society

   28. Stationary solutions to the Boltzmann equation in the Hydrodynamic limit, (R.Esposito, Y. Guo, R.Marra), Annals of PDE, 4:1, 1-119 (2018) sharedIt link

   29. Regularity of the Boltzmann Equation in Convex Domains, (Y.Guo, D.Tonon, A.Trescases), Invent. Math, 207, 115–290 (2017) sharedIt link

   30. BV-regularity of the Boltzmann equation in Non-convex Domains, (Y.Guo, D.Tonon, A.Trescases), Arch. Rational Mech. Anal., 220, 1045-1093 (2016) sharedIt link

   31. Non-Isothermal Boundary in the Boltzmann Theory and Fourier Law (R.Esposito, Y. Guo, R.Marra), Commun. Math. Phys, 323, 177-239 (2013) sharedIt link

   32. The viscous surface-internal wave problem: global well-posedness and decay (I.Tice, Y. Wang),  Arch. Rational Mech. Anal., 212, 1-92 (2014) sharedIt link

   33. Boltzmann Equation with a Large Potential in a Periodic Box, Comm. PDE, 39, 1393-1423 (2014) link, file

   34. The Boltzmann Equation near a Rotational Local Maxwellian, (S. Yun), SIAM J. Math. Anal., 44, 2560-2598 (2012) link

   35. Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains, Commun. Math. Phys, 308, 641-701 (2011) sharedIt link