Vanishing latent heat limit in a Stefan-like problem arising in biology.

DOI10.1016/S1468-1218(02)00009-3zbMath1049.92035OpenAlexW1970500014MaRDI QIDQ1870872

Danielle Hilhorst, Masayasu Mimura, Reiner Michael Schätzle

Publication date: 14 May 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(02)00009-3

zbMATH Keywords

weak solutionsStefan-like problemvon Neumann boundary conditionsCompetition-diffusion systemsSpatial segregation limit analysis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Ecology (92D40) Free boundary problems for PDEs (35R35)

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Cites Work

• Stefan problems with the unilateral boundary condition on the fixed boundary. II
• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Compact sets in the space \(L^ p(0,T;B)\)
• Free boundary problems for some reaction-diffusion equations
• Stability analysis for free boundary problems in ecology
• Local behavior of solutions of quasilinear parabolic equations
• A free boundary problem in ecology
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• Spatial segregation limit of a competition–diffusion system
• A chemical diffusion-reaction free boundary problem
• Pointwise estimates and quasilinear parabolic equations
• The limit of the anisotropic double-obstacle Allen–Cahn equation
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