Global existence for reaction-diffusion systems modelling ignition

DOI10.1007/s002050050091zbMath0909.35063OpenAlexW2094565093MaRDI QIDQ1264342

Andrew A. Lacey, Miguel Angel Herrero, Juan J. L. Velazquez

Publication date: 18 October 1998

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050091

zbMATH Keywords

classical solutionexothermic chemical reaction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Chemically reacting flows (80A32) Initial value problems for second-order parabolic systems (35K45)

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“Triangular” reaction–diffusion systems with integrable initial data ⋮ Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations ⋮ A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics ⋮ Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion ⋮ Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth ⋮ On systems of reaction-diffusion equations with a balance law: the sequel ⋮ Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data ⋮ Global existence of solutions to reaction-diffusion systems without conditions on the nonlinearities growth ⋮ Global existence in reaction-diffusion systems with control of mass: a survey ⋮ Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\) ⋮ Global solvability of a class of reaction-diffusion systems with cross-diffusion ⋮ Diffusion models with blow-up ⋮ Global existence for coupled reaction-diffusion systems

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