ANALYSIS OF THE NONLINEAR DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS

Orzumurod Ruzikulov; Zafar Rakhmonov

Authors

Orzumurod Ruzikulov
Zafar Rakhmonov National University of Uzbekistan, Uzbekistan

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.

References

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