Donghyun Lee

I'm an assistant professor (2018 June~) at the Department of Mathematics, Postech, Korea.
I finished my PhD at Courant Institute, New York University, advised by Professor Nader Masmoudi.
In Madison, I worked with Chanwoo Kim about kinetic theory.

Contact details
Address:  Donghyun Lee
                  Department of Mathematics
                  77 Cheongam-ro, Nam-gu,                                      Pohang-si, Gyeongsangbuk-do, Korea


Office:211, Math building 
Email:donglee@postech.ac.kr
     

CV

pdf

Research Interests

Applied PDE, Fluid mechanics, Kinetic theory

Preprint

Y. Cao, C. Kim and D. Lee, Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains. (2017), submitted. arXiv

C. Kim and D. Lee, Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains. (2017), online published in Arch. Rational Mech. Anal. linkarXiv

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. accepted in Comm. Math. Sci. 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). linkarXiv

In preparation

C. Kim and D. Lee, H ̈older regularity and decay of the Boltzmann equation in some non-convex domain., in preparation.

D. Lee and H. Q. Nguyen, Optimal regularity for 2D rotational free-boundary Euler equation, in preparation.



Link

Department of Mathematics, UW-Madison,

PDE Geometric Analysis seminar, UW-Madison

Ki-net

Nader Masmoudi

Chanwoo Kim