A generalized one phase Stefan problem as a vanishing viscosity limit

DOI10.4171/PM/2051zbMath1465.35422arXiv2004.06460OpenAlexW3096754464MaRDI QIDQ2025700

Kelei Wang

Publication date: 14 May 2021

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06460

zbMATH Keywords

nonlinear diffusionchemical reaction interfacespatial segregation interface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Semilinear elliptic equations (35J61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stefan problem for the Fisher-KPP equation
• Continuity of the temperature in the two-phase Stefan problem
• Continuity of weak solutions to certain singular parabolic equations
• Nonlinear diffusion in the presence of fast reaction
• A reaction-diffusion system approximation to the two-phase Stefan problem.
• The fast reaction limit for a reaction-diffusion system
• Spreading speed revisited: analysis of a free boundary model
• Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
• On the regularity of a chemical reaction interface
• Spatial segregation limit of a competition–diffusion system
• A chemical diffusion-reaction free boundary problem
• The Stefan Problem in Several Space Variables
• A competition-diffusion system approximation to the classical two-phase Stefan problem