1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
Random walk with heterogeneous sojourn time
Jaywan Chung, Yong-Jung Kim, Min-Gi Lee
We introduce a discrete-time random walk model on a one-dimensional lattice with a nonconstant sojourn time and prove that the discrete density converges to a solution of a continu…
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…