Asymptotically self-similar blow-up for a quasilinear parabolic equation beyond some critical exponents (Q2704785)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotically self-similar blow-up for a quasilinear parabolic equation beyond some critical exponents |
scientific article |
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12 March 2001
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blow-up self similar solution
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critical exponents
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quasilinear parabolic equations
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stability
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Asymptotically self-similar blow-up for a quasilinear parabolic equation beyond some critical exponents (English)
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This paper deals with a numerical study of existence and structural stability of blow up self-similar solutions of a class of quasilinear parabolic equations. The authors confirm a conjecture proposed by \textit{V. A. Galaktionov} and \textit{J. L. Vazquez} [Commun. Pure Appl. Math. 50, 1-67 (1997; Zbl 0874.35057)].
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