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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form
M. Aripova, A. S. Matyakubova, B. Kh. Imomnazarovb a National University of Uzbekistan, University street 4, Tashkent 100174, Uzbekistan
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Abstract:
We deal with degenerate quasilinear parabolic systems in the non-divergence form under positive initial conditions. An asymptotic behavior of self-similar solutions in the case of slow diffusion is established. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. In addition, the asymptotic representation of the solution is obtained.
Keywords:
a nonlinear degenerate parabolic system, non-divergence form, Cauchy problem.
Received: 29.09.2019 Revised: 30.06.2020 Accepted: 30.08.2020
Citation:
M. Aripov, A. S. Matyakubov, B. Kh. Imomnazarov, “The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form”, Mathematical notes of NEFU, 27:3 (2020), 27–38
Linking options:
https://www.mathnet.ru/eng/svfu291 https://www.mathnet.ru/eng/svfu/v27/i3/p27
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Abstract page: | 81 | Full-text PDF : | 32 |
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