Nonexistence for the Kassoy problem in dimensions 1 and 2

DOI10.1016/0022-247X(88)90260-0zbMath0659.34002OpenAlexW2048708774MaRDI QIDQ1112217

David H. Eberly

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90260-0

zbMATH Keywords

ignition modelhigh activation energy thermal explosion of a solid fuel

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Classical and relativistic thermodynamics (80A10)

Related Items

Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation, Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9, Blow-up of solutions of semilinear parabolic equations, Critical diffusion exponents for self-similar blow-up solutions of a quasilinear parabolic equation with an exponential source, Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation, Backward selfsimilar solutions of supercritical parabolic equations, Blow-up profiles of solutions for the exponential reaction-diffusion equation, The asymptotic behaviour of the solutions of the Kassoy problem with a modified source term, Monotonicity in time of large solutions to a nonlinear heat equation, An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations, A description of self-similar blow-up for dimensions n\(\geq 3\)

Cites Work

• Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9
• Nonexistence for the Kassoy Problem
• The Thermal Explosion Confined by a Constant Temperature Boundary:I—The Induction Period Solution