Asymptotic behavior of solutions for a doubly nonlinear parabolic non-divergence form equation with density
Мерсаид АриповNational University of Uzbekistan named after Mirzo Ulugbek, 4, University street, Tashkent 100174, UzbekistanMakhmud BobokandovNational University of Uzbekistan named after Mirzo Ulugbek, 4, University street, Tashkent 100174, Uzbekistan
ABI
Abstract
In this paper, we study the conditions of the Fujita type global solvability of solutions the Cauchy problem to double nonlinear degenerate parabolic equation with variable density and time dependent nonlinear source. The asymptotic properties of self-similar solution and the numerical analysis of considered problem including the critical and singular cases discussed.