Volume 13, Issue 3
Quenching Versus Blow-up

Keng Deng & Chcnglin Zhao

DOI:

J. Part. Diff. Eq., 13 (2000), pp. 243-252.

Published online: 2000-08

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  • Abstract

This paper is concerned with the semilinear heat equation u_t = Δu - u^{-q} in Ω × (0, T) under the nonlinear boundary condition \frac{∂u}{∂v} = u^p on ∂Ω × (0, T). Criteria for finite time quenching and blow-up are established, quenching and blow-up sets are discussed, and the rates of quenching and blow-up are obtained.

  • Keywords

Reaction-diffusion equation finite time quenching and blow-up quenching and blow-up sets quenching and blow-up rates

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COPYRIGHT: © Global Science Press

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@Article{JPDE-13-243, author = {}, title = {Quenching Versus Blow-up}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {3}, pages = {243--252}, abstract = { This paper is concerned with the semilinear heat equation u_t = Δu - u^{-q} in Ω × (0, T) under the nonlinear boundary condition \frac{∂u}{∂v} = u^p on ∂Ω × (0, T). Criteria for finite time quenching and blow-up are established, quenching and blow-up sets are discussed, and the rates of quenching and blow-up are obtained.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5511.html} }
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