A Liouville theorem for a heat equation and applications for quenching
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Publication:3083540
DOI10.1088/0951-7715/24/3/005zbMath1244.35024OpenAlexW2017087384MaRDI QIDQ3083540
Publication date: 22 March 2011
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/24/3/005
Nonlinear parabolic equations (35K55) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Simultaneous and non-simultaneous quenching for a coupled semilinear parabolic system in a \(n\)-dimensional ball with singular localized sources ⋮ Numerical solutions to singular reaction-diffusion equation over elliptical domains ⋮ A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems ⋮ A nonconventional stability approach for a nonlinear Crank-Nicolson method solving degenerate Kawarada problems ⋮ A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations ⋮ Numerical approximations to a fractional Kawarada quenching problem
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