Donghyun Lee

CV

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Research Interests

Applied PDE, Fluid mechanics, Kinetic theory

Publication & Preprint

D. Deng, J. Kim and D. Lee, Global Solutions in $L^p_{v} L^\infty_{x}$ for the Boltzmann Equation in Bounded Domains (2025) preprint, arXiv

G. An and D. Lee, Optimal C^1/2 regularity of the Boltzmann equation in non-convex domains (2025) preprint, arXiv

J. Kim and D. Lee, On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects J. Stat. Phys., Vol 192, No 77, (2025) link, arXiv

D. Lee, S. Park and S. Yun, Ill-posedness of the Boltzmann-BGK model in the exponential class (2024) preprint, arXiv

G. An, J. Jang and D. Lee, Quantitative pointwise estimates of the Cooling process for inelastic Boltzmann equation J. Stat. Phys., Vol 192, No 77, (2025) link, arXiv

[Proceedings] C. Kim and D. Lee, H\"older regularity of the Boltzmann equation in some non-convex domains. AIP Conf. Proc. 2996, 040007 (2024) link

G. An and D. Lee, The Mixed Convex-Concave effect on the regularity of a Boltzmann solution SIAM J. Math. Anal., Vol 57, Issue. 1, (2025) link, arXiv

G. Ko, C. Kim and  D. Lee, Dynamical billiard and a long-time behavior of the Boltzmann equation in general 3D toroidal domains. Tunis. J. Math., Vol 7, No 2, pp. 229-338 (2025) link, arXiv

G. Bae, G. Ko,  D. Lee and S. Yun, Large amplitude problem of BGK model : Relaxation to quadratic nonlinearity. (2023) preprint, arXiv

G. An and D. Lee, High-velocity tails of the inelastic and the multi-species mixture Boltzmann equations. SIAM J. Math. Anal., Vol 55, No. 5, pp. 4297-4336 (2023) link, arXiv

G. Ko and  D. Lee, On  C^2 solution of the free transport equation in a disk. Kinet. Relat. Models., Vol 16, No. 3, pp 311-372 (2023), link, arXiv

C. Kim and D. Lee, H\"older regularity of the Boltzmann equation past an obstacle. Comm. Pure Appl. Math, Vol 77, Issue4, pp 2331-2386 (2024), link, arXiv

G. Ko, D. Lee and G. Park, The large amplitude solution of the Boltzmann equation with soft potential. J. Differ. Equ, Vol 307 (2022), pp. 297-347 link, arXiv

R. Duan, G. Ko and D. Lee, The Boltzmann equation with large-amplitude initial data and specular reflection boundary condition. J. Stat. Phys., Vol 190, No. 189 (2023) link, arXiv

Y. Cao, C. Kim and D. Lee, Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains. Arch. Rational Mech. Anal., 233(3), pp. 1027-1130 (2019) link, arXiv

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

C. Kim and D. Lee, The Boltzmann equation with specular boundary condition in convex domains. Comm. Pure Appl. Math., 71 (2018), pp.411-504. link, arXiv

D. Lee, Uniform estimate of viscous free-boundary magnetohydrodynamics with zero vacuum magnetic field. SIAM J. Math. Anal., 49-4 (2017), pp. 2710-2789. link, arXiv

D. Lee, Initial value problem for the free boundary magnetohydrodynamics with zero magnetic boundary condition. Comm. Math. Sci., Vol 16, No. 3, pp 589-615 (2018). link, arXiv

T. Elgindi and D. Lee, Uniform Regularity for Free boundary Navier-Stokes Equations with Surface tension.  J. Hyperbol. Differ. Eq., Vol. 15, No. 01, pp. 37-118 (2018). link, arXiv

Link

Department of Mathematics, POSTECH

PDE and Applied Analysis Seminar (PDEAA)

CM2LA (SRC)

Korea-France Webinar (Kinetic and Fluid equations for Collective Dynamics)