1 citations · 2 across the 6 of their papers we have counts for
6 papers
Equilibration versus Localization in a Diffusion-Relaxation System
Aseel AlNajjar, Hoyoun Kim, Athanasios Tzavaras
We consider a diffusion-relaxation system and investigate the conditions on parameters leading to equilibration versus localization. When the diffusion is dominant, solutions conve…
Renormalized solutions for the Maxwell--Stefan system with an application to uniqueness of weak solutions
Stefanos Georgiadis, Hoyoun Kim, Athanasios E. Tzavaras
We give conditions that guarantee uniqueness of renormalized solutions for the Maxwell-Stefan system. The proof is based on an identity for the evolution of the symmetrized relativ…
Fick's las selects the Neumann boundary condition
Danielle Hilhorst, Seung-Min Kang, Ho-Youn Kim +1
We study the appearance of a boundary condition along an interface between two regions, one with constant diffusivity and the other with diffusivity $\eps>0$, when $\eps\to0$.…
Diffusion laws select boundary conditions
Jaywan Chung, Seungmin Kang, Ho-Youn Kim +1
The choice of boundary condition makes an essential difference in the solution structure of diffusion equations. The Dirichlet and Neumann boundary conditions and their combination…
Terrace solutions for non-Lipschitz multistable nonlinearities
Thomas Giletti, Ho-Youn Kim, Yong-Jung Kim
Traveling wave solutions of reaction-diffusion equations are well-studied for Lipschitz continuous monostable and bistable reaction functions. These special solutions play a key ro…
Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities
Thomas Giletti, Ho-Youn Kim
In this paper we address the large-time behavior of solutions of bistable and multistable reaction-diffusion equations with discontinuities around the stable steady states. We show…