1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2023
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 $\eps\to0$.…
math.AP2023★ 1 cited
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…
math.AP2022
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…