Fick's law selects the Neumann boundary condition
DOI10.1016/J.NA.2024.113561zbMATH Open1542.35027MaRDI QIDQ6564656
Danielle Hilhorst, Yong Jung Kim, Ho-Youn Kim, Seung-Min Kang
Publication date: 1 July 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Neumann boundary conditionreaction-diffusion equationsingular limitFick's law diffusionheterogeneous diffusion equation
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Semilinear parabolic equations (35K58)
Cites Work
- Functional analysis, Sobolev spaces and partial differential equations
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Parabolic systems in unbounded domains. I: Existence and dynamics
- On the Brownian displacements and thermal diffusion of grains suspended in a non-uniform fluid.
- On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals
- Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
- Bistable traveling waves around an obstacle
- Attractors for reaction-diffusion equations: existence and estimate of their dimension
- Metastable Dynamics and Spatially Inhomogeneous Equilibria in Dumbbell‐Shaped Domains
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