A competition-diffusion system approximation to the classical two-phase Stefan problem
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Publication:5944151
DOI10.1007/BF03168569zbMath0980.35178MaRDI QIDQ5944151
Hirokazu Ninomiya, Masato Iida, Danielle Hilhorst, Masayasu Mimura
Publication date: 4 March 2002
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
competition-diffusion systemsecological population modelsingular limit analysiswater-ice solidification
Stefan problems, phase changes, etc. (80A22) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear diffusion in the presence of fast reaction
- Stability analysis for free boundary problems in ecology
- Vanishing latent heat limit in a Stefan-like problem arising in biology.
- The fast reaction limit for a reaction-diffusion system
- A free boundary problem in ecology
- Spatial segregation limit of a competition–diffusion system
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