Finite time dead-core rate for the heat equation with a strong absorption

DOI10.2748/tmj/1206734406zbMath1157.35059OpenAlexW1980145021MaRDI QIDQ925098

Jong-Shenq Guo, Chin-Chin Wu

Publication date: 29 May 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1206734406

zbMATH Keywords

matchingsemilinear parabolic equationstrong absorptiondead-core rateself-similar rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Thermal waves in an absorbing and convecting medium
• Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem
• Geometric theory of semilinear parabolic equations
• Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up
• Type-II blowup for a semilinear heat equation
• The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
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