Finite time blowup for semilinear reactive-diffusive systems

DOI10.1016/0022-0396(92)90044-NzbMath0801.35050MaRDI QIDQ1183236

Andrew A. Lacey, Jerrold W. Bebernes

Publication date: 28 June 1992

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

zbMATH Keywords

reaction-diffusion systemblow up

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (11)

THE BLOW-UP AND THE QUENCHING SOLUTIONS OF POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR HEAT EQUATIONS ⋮ On the blow-up of solutions to some semilinear and quasilinear reaction- diffusion systems ⋮ Partly dissipative reaction-diffusion systems and a model of phosphorus diffusion in silicon ⋮ Boundedness for a system of reaction‐diffusion equations 1 ⋮ Reaction-diffusion systems with initial data of low regularity ⋮ Stationary reaction–diffusion systems in L1 ⋮ Influence of mixed boundary conditions in some reaction–diffusion systems ⋮ Ignition and combustion of low-exothermicity porous materials by a local hotspot ⋮ Global existence in reaction-diffusion systems with control of mass: a survey ⋮ Global existence and blow-up of solutions for a semilinear parabolic system ⋮ A sufficient condition for blow up solutions of nonlinear heat equations

Cites Work

• Unnamed Item
• Unnamed Item
• Boundedness and blow up for a semilinear reaction-diffusion system
• Mathematical problems from combustion theory
• Heat Diffusion in Insulated Convex Domains
• Global existence and convergence to a singular steady state for a semilinear heat equation
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Steady states of the reaction-diffusion equations. Part 1: Questions of existence and continuity of solution branches
• Finite-Time Blowup for a Particular Parabolic System

This page was built for publication: Finite time blowup for semilinear reactive-diffusive systems