ANALYSIS OF THE NONLINEAR DIFFUSION SYSTEM WITH A SOURCE
Keywords:
blow-up; nonlinear boundary condition; critical exponents; nonlinear diffusion system; asymptotic.Abstract
: In this paper, we consider the solvability and unsolvability of solutions of a nonlinear diffusion system with a source and nonlinear boundary conditions in the case of slow diffusion. Establishing numerous self-similar super-solutions and sub-solutions for the nonlinear diffusion system, it was possible to derive the critical global existence curve and the Fujita-type critical exponent. It is shown that specific numerical characteristics of the nonlinear diffusion system bounded by nonlinear boundary conditions may not exist.
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