Výsledky vyhledávání - "Kim, Ho Youn"

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Diffusion laws select boundary conditions

Autor: Chung, Jaywan, Kang, Seungmin, Kim, Ho-Youn, Kim, Yong-Jung

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 have been the most used, but their legitimacy has been disputed. We s

Externí odkaz: http://arxiv.org/abs/2308.00416

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Fick's las selects the Neumann boundary condition

Autor: Hilhorst, Danielle, Kang, Seung-Min, Kim, Ho-Youn, Kim, Yong-Jung

We study the appearance of a boundary condition along an interface between two regions, one with constant diffusivity $1$ and the other with diffusivity $\eps>0$, when $\eps\to0$. In particular, we take Fick's diffusion law in a context of reaction-d

Externí odkaz: http://arxiv.org/abs/2308.00321

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Terrace solutions for non-Lipschitz multistable nonlinearities

Autor: Giletti, Thomas, Kim, Ho-Youn, Kim, Yong-Jung

Traveling wave solutions of reaction-diffusion equations are well-studied for Lipschitz continuous monostable and bistable reaction functions. These special solutions play a key role in mathematical biology and in particular in the study of ecologica

Externí odkaz: http://arxiv.org/abs/2208.01505

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Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities

Autor: Giletti, Thomas, Kim, Ho-Youn

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 that the solution always converges to a special solution, which may e

Externí odkaz: http://arxiv.org/abs/2207.14565

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