Self-similar fast-reaction limits for reaction-diffusion systems on unbounded domains

DOI10.1016/J.JDE.2016.04.028zbMath1375.35254arXiv1602.05049OpenAlexW2963105145MaRDI QIDQ285659

Danielle Hilhorst, Elaine C. M. Crooks

Publication date: 19 May 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05049

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ill-posed problems for PDEs (35R25) Self-similar solutions to PDEs (35C06) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Fast Reaction Limit with Nonmonotone Reaction Function ⋮ Cross-diffusion systems and fast-reaction limits ⋮ Fast reaction limit and forward-backward diffusion: a Radon-Nikodym approach

Cites Work

• Unnamed Item
• Unnamed Item
• Singular limit of a competition-diffusion system with large interspecific interaction
• Approximating the large time asymptotic reaction zone solution for fractional order kinetics \(A^n B^m\)
• Mathematical analysis of a model describing the invasion of bacteria in burn wounds
• Functional analysis, Sobolev spaces and partial differential equations
• The fast reaction limit for a reaction-diffusion system
• Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Positivity versus localization in degenerate diffusion equations
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Self-similar fast-reaction limits for reaction-diffusion systems on unbounded domains