Non-self-similar dead-core rate for the fast diffusion equation with strong absorption

DOI10.1088/0951-7715/23/3/013zbMath1194.35059OpenAlexW2036189283MaRDI QIDQ3550011

Jong-Shenq Guo, Chia-Tung Ling, Philippe Souplet

Publication date: 30 March 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/22c3a6ce9dfa2459ed7c52cea8618dc9bb4678d0

zbMATH Keywords

singularitiesparabolic equationsanalytic methodsreaction-diffusion equationsasymptotic behavior of solutionsself-similar variablesnonlinear PDE of parabolic typedead-core profileinitial value problems for second-ordertemporal rate of formationZelenyak method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Analyticity in context of PDEs (35A20) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

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