I am currently affiliated with the University of Wisconsin-Madison (Department of Mathematics). My research area is the field of partial differential equations.

chanwookim (dot) math (at) gmail (dot) com

During the academic year of 2022-2023, Simons fellowship supports my sabbatical leave partly.

Here is my CV (updated Jan/2022).

All big things should start with the smallest, and big hard things should start with the easiest. Ahn, Chang-ho

Publications: List online link

    1. Nonlinear Stability of inhomogeneous steady solutions to boundary problems of Vlasov-Poisson equation, preprint

    2. Exponential Mixing of Vlasov equations under the effect of Gravity and Boundary (J. Jin), submitted, link, presentation

    3. Vorticity Convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class (J. La), submitted, link

    4. Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition (Y. Cao), submitted, link

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

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

    7. Passage from the Boltzmann equation with Diffuse Boundary to the Incompressible Euler equation with Heat Convection (Y.Cao, J.Jang), submitted, link

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

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

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

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

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

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

    14. 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

    15. 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

    16. 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

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

    18. 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

    19. 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

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

    21. 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

    22. 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

    23. 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

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

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

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

Grants: NSF-DMS 1501031, NSF-DMS 1900923, NSF-CAREER 2047681, Brain Pool fellowship, Simons fellowship