Global existence and quenching for a model of adiabatic shear band formation

DOI10.1016/0362-546X(93)90077-6zbMath0791.35064OpenAlexW1966317336MaRDI QIDQ4275594

Juan J. L. Velazquez

Publication date: 21 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90077-6

zbMATH Keywords

global existenceradially symmetricquenching phenomenonadiabatic shear band formation

Mathematics Subject Classification ID

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

Cites Work

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• Extinction properties of semilinear heat equations with strong absorption
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• On the quenching behavior of the solution of a semilinear parabolic equation
• On the Blowup of u t at Quenching

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