Donghyun Lee

I'm a Van Vleck assistant professor (2015-2018) at the Department of Mathematics, University of Wisconsin-Madison.
I finished my PhD at Courant Institute, New York University, advised by Professor Nader Masmoudi.
In Madison, I am working with Chanwoo Kim about kinetic theory.

Contact details
Address: Donghyun Lee

Department of Mathematics

University of Wisconsin-Madison

480 Lincoln Dr.

Madison, WI,  53705, USA
Office: Van Vleck 319
Email: dlee374 at wisc dot edu
donghyun at math dot wisc dot edu

CV

pdf

Research Interests

Applied PDE, Fluid mechanics, Kinetic theory

Preprints

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), submitted arXiv

C. Kim and D. Lee, The Boltzmann equation with specular boundary condition in convex domains. online published in Comm. Pure Appl. Math., link

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

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.  accepted in J. Hyperbol. Differ. Eq. arXiv


In preparation

C. Kim and D. Lee, Holder regularity and coercivity of the Boltzmann equation with the specular boundary condition, 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