Blow-up in semilinear parabolic equations with weak diffusion

DOI10.1088/1364-7830/2/3/004zbMath0929.35068OpenAlexW2075481818MaRDI QIDQ4266893

A. K. Kapila, Mark W. Short

Publication date: 22 September 1999

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2142/112579

zbMATH Keywords

exact self-similar focusing structureexponentially small layer

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Shock-generated ignition: the induction zone
• ANALYSIS OF THE EARLY STAGE OF THERMAL RUNAWAY
• The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion
• Nonexistence for the Kassoy Problem
• A rescaling algorithm for the numerical calculation of blowing-up solutions
• Evolution of a Reaction Center in an Explosive Material
• The Spatial Dependence of Supercritical Reacting Systems
• The Thermal Explosion Confined by a Constant Temperature Boundary:I—The Induction Period Solution
• Reactive-Diffusive System with Arrhenius Kinetics: Dynamics of Ignition
• On asymptotic forms of reactive-diffusive runaway
• Final Time Blowup Profiles for Semilinear Parabolic Equations via Center Manifold Theory
• Refined asymptotics for the blowup of u_t — δu = u^p
• On the Critical Conditions for the Initiation of a Detonation in a Nonuniformly Perturbed Reactive Fluid
• Moving Mesh Methods for Problems with Blow-Up

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