A quenching criterion for a multi-dimensional parabolic problem due to a concentrated nonlinear source

DOI10.1016/j.cam.2011.01.017zbMath1225.35121OpenAlexW2117588829MaRDI QIDQ544199

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 June 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.017

zbMATH Keywords

quenching time

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (8)

Numerical solutions to singular reaction-diffusion equation over elliptical domains ⋮ Unnamed Item ⋮ Quenching for a non-Newtonian filtration equation with a singular boundary condition ⋮ A fully adaptive approximation for quenching‐type reaction‐diffusion equations over circular domains ⋮ Existence of a solution for the problem with a concentrated source in a subdiffusive medium ⋮ Numerical approximations to a fractional Kawarada quenching problem ⋮ Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach ⋮ Existence of solution for the problem with a concentrated source in a subdiffusive medium

Cites Work

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• A multi-dimensional quenching problem due to a concentrated nonlinear source in \(\mathbb R^N\)
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• A thermal explosion model
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source

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