Article

Asymptotic behavior of solutions to the reaction-diffusion problem with double nonlinearity with variable density and source

Мерсаид АриповNational university of Uzbekistan named after Mirzo Ulugbek, 4, Universitet street, Tashkent 100174, UzbekistanDilobar NigmanovaNational university of Uzbekistan named after Mirzo Ulugbek, 4, Universitet street, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we consider the Cauchy problem to a nonlinear system of parabolic equations with variable density and a source or absorption. Qualitative properties of a reaction-diffusion system with a double nonlinearity with a variable density and a source are considered, and a reaction-diffusion system with a double nonlinearity is numerically studied. The global solvability of a generalized solution for a nonlinear system is discussed, depending on the value of numerical parameters.

Topics

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Nonlinear Partial Differential Equations

Identifiers

DOI: 10.1063/5.0199607

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