To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity, Variable Density, Absorption at a Critical Parameter

In this work we have established asymptotic behavior (for t  ) of solutions of the Cauchy problem for a nonlinear heat equation with variable density describing the diffusion of heat with nonlinear heat absorption at the critical exponent of the parameter  . For numerical computations as an initial approximation we used founded the long time asymptotic of the solution. Numerical experiments and visualization were carried for one and two dimensional case.

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