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This article is cited in 7 scientific papers (total in 7 papers)
Asymptotic solution of a Cauchy problem in a neighbourhood
of a gradient catastrophe
S. V. Zakharov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
The existence of an asymptotic solution of a quasilinear parabolic
equation with a small parameter is proved in a neighbourhood of the
transition point of a weak discontinuity of the solution of the
limiting equation into a shock wave. The behaviour of the first two
coefficients of this asymptotic solution is studied in the entire
plane of the stretched variables.
Bibliography: 4 titles.
Received: 16.12.2004
Citation:
S. V. Zakharov, “Asymptotic solution of a Cauchy problem in a neighbourhood
of a gradient catastrophe”, Sb. Math., 197:6 (2006), 835–851
Linking options:
https://www.mathnet.ru/eng/sm1574https://doi.org/10.1070/SM2006v197n06ABEH003780 https://www.mathnet.ru/eng/sm/v197/i6/p47
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Abstract page: | 371 | Russian version PDF: | 178 | English version PDF: | 15 | References: | 55 | First page: | 1 |
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