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Matematicheskoe modelirovanie, 1990, Volume 2, Number 3, Pages 63–74
(Mi mm2342)
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Mathematical models of phenomena and processes
Self-similar solutions of half-linear heat equation
L. A. Lepin University of Latvia
Abstract:
For half-linear heat equation
\[
u_t=\Delta u+u^{\beta}\tag{1}
\]
in $N$-dimentional space the domains of parameters $N$ and $\beta$ is found, where the equation (1) has
$n$ different self-similar solutions developing in blow up regime.
Received: 29.11.1989
Citation:
L. A. Lepin, “Self-similar solutions of half-linear heat equation”, Matem. Mod., 2:3 (1990), 63–74
Linking options:
https://www.mathnet.ru/eng/mm2342 https://www.mathnet.ru/eng/mm/v2/i3/p63
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Statistics & downloads: |
Abstract page: | 400 | Full-text PDF : | 183 | References: | 1 | First page: | 1 |
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