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Analysis of Double Nonlinear Parabolic Crosswise-Diffusion Systems with Time-Dependent Nonlinearity Absorption

Makhmud BobokandovNational University of UzbekistanMersaid AripovNational University of UzbekistanNodir UralovTashkent State transport University , Dept of Information systems and technologies in transport , Tashkent , Uzbekistan
2024en
ABI

Annotatsiya

In this paper, our primary focus is on studying the properties of self-similar solutions to the Cauchy problem. We specifically examine the behavior of these solutions in a double nonlinear time-dependent parabolic system of equations and their absorption in a non-homogenous medium. We delve into the self-similar analysis of the solutions, which allows us to ascertain the conditions of Fujita type global solvability for the Cauchy problem.

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