The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form
Мерсаид АриповNational University of Uzbekistan University street 4, Tashkent 100174, UzbekistanAlisher MatyakubovNational University of Uzbekistan University street 4, Tashkent 100174, UzbekistanB. Kh. ImomnazarovNovosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
ABI
Аннотация
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.
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