40 citations · 246 across the 34 of their papers we have counts for
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decay for the linearized Landau equation with the specular boundary condition
Yan Guo, Hyung Ju Hwang, Jin Woo Jang +1
In this paper, we develop an alternative approach to establish the decay estimate for the linearized Landau equation in a bounded domain with specular boundary condition. The…
The Landau equation with the specular reflection boundary condition
Yan Guo, Hyung Ju Hwang, Jin Woo Jang +1
The existence and stability of the Landau equation (1936) in a general bounded domain with a physical boundary condition is a long-outstanding open problem. This work proves the gl…
On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries
Hyung Ju Hwang, Juhi Jang, Juan J. L. Velázquez
In this paper we compute asymptotics of solutions of the kinetic Fokker-Planck equation with inelastic boundary conditions which indicate that the solutions are nonunique if $r < r…
A to approach for the Landau Equation
Jinoh Kim, Yan Guo, Hyung Ju Hwang
Consider the Landau equation with Coulomb potential in a periodic box. We develop a new framework to construct global unique solutions near Maxwellia…
Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions
Hyung Ju Hwang, Juhi Jang, Juan J. L. Velázquez
We describe the structure of solutions of the kinetic Fokker-Planck equations in domains with boundaries near the singular set in one-space dimension. We study in particular the be…
A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point
Marco A. Fontelos, Seok Hyun Hong, Hyung Ju Hwang
We study the problem of evaporating drops contracting to a point. Going back to Maxwell and Langmuir, the existence of a spherical solution for which evaporating drops collapse to…