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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 194–206
(Mi znsl1561)
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This article is cited in 1 scientific paper (total in 1 paper)
The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems
I. O. Rasskazov Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
The discontinuous initial value problem for a hyperbolic system of two quasilinear equations with small perturbation is considered. The asymptotics on a small parameter of an discontinuous solution is investigated. The full asymptotic expansions are constructed, when the solution of a nonperturbed problem contains two shock waves.
Received: 20.12.2001
Citation:
I. O. Rasskazov, “The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 194–206; J. Math. Sci. (N. Y.), 122:5 (2004), 3564–3571
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https://www.mathnet.ru/eng/znsl1561 https://www.mathnet.ru/eng/znsl/v285/p194
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Abstract page: | 138 | Full-text PDF : | 49 |
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