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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 3, Pages 474–478
(Mi tmf5463)
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This article is cited in 2 scientific papers (total in 3 papers)
Cauchy problem for waves on shallow water
R. F. Bikbaev
Abstract:
A classical one-dimensional model of shallow water in the class of continuously differentiable functions is considered. A criterion is obtained for the existence of a solution to the Cauchy problem that is global in time. For the special class of step-type initial data, the asymptotic behavior of the solution as $t\to+\infty$ is calculated.
Received: 29.11.1989
Citation:
R. F. Bikbaev, “Cauchy problem for waves on shallow water”, TMF, 86:3 (1991), 474–478; Theoret. and Math. Phys., 86:3 (1991), 327–330
Linking options:
https://www.mathnet.ru/eng/tmf5463 https://www.mathnet.ru/eng/tmf/v86/i3/p474
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Statistics & downloads: |
Abstract page: | 375 | Full-text PDF : | 108 | References: | 45 | First page: | 1 |
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