Properties of the mathematical model of reaction-diffusion processes with a double nonlinearity and source
Мерсаид АриповNational University of Uzbekistan named after Mirzo Ulugbek, Universitet Street 4, Tashkent 100174, UzbekistanDilobar NigmanovaNational University of Uzbekistan named after Mirzo Ulugbek, Universitet Street 4, Tashkent 100174, UzbekistanShakhlo SadullaevaBelarusian-Uzbek Intersectoral Institute of Applied Technical Qualifications, Karamurt Street 1, Tashkent 100174, Uzbekistan
ABI
Аннотация
In this paper, we study the condition of global existence and non-existence of a solution of a nonlinear parabolic system with a nonlinear boundary condition and with a variable density. Estimate of solutions, asymptotic behavior of self-similar solutions depending on the value of numerical parameters of the system of the process under study is established for the case of slow and fast diffusion and for the critical case. The influence of variable density on the estimation of solutions, in critical cases, behavior of solutions is considered.
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