Quenching phenomena for singular nonlinear parabolic equations

DOI10.1016/0362-546X(88)90085-5zbMath0704.35012OpenAlexW2050353263MaRDI QIDQ3483651

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90085-5

zbMATH Keywords

quenchinginitial boundary value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items

Quenching for degenerate parabolic equations ⋮ Quenching for coupled semilinear reaction-diffusion problems ⋮ Quenching for degenerate semilinear parabolic equations ⋮ Incomplete quenching of heat equations with absorption ⋮ Asymptotic profile of quenching in a system of heat equations coupled at the boundary ⋮ On quenching for some parabolic problems ⋮ Incomplete quenching in a system of heat equations coupled at the boundary ⋮ The behavior of a finite difference approximation to a singular initial boundary value problem ⋮ Quenching for a parabolic equation with variable coefficient modeling MEMS technology ⋮ Impulsive quenching and blow-up of solutions ⋮ Efficient numerical algorithms for close estimation of critical parameters and quenching times in singular parabolic problems ⋮ Asymptotic analysis of quenching problems ⋮ Existence and asymptotic behavior for a singular parabolic equation ⋮ Some dichotomy results for the quenching problem ⋮ Complete quenching for singular parabolic problems ⋮ Remarks on quenching ⋮ Existence results of steady-states of semilinear reaction-diffusion equations and their applications ⋮ Numerical quenching of a system of equations coupled at the boundary

Cites Work

• Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• On the global existence of solutions of parabolic differential equations with a singular nonlinear term
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