Article

On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities

Zafar RakhmonovNational University of Uzbekistan, Applied Mathematics and Computer Analysis,A.I. TillaevUniversitet, 4, Tashkent, 100174, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2018en

ABI

Abstract

In this paper, we study the global solvability and unsolvability conditions of a nonlinear filtration problem with nonlinear boundary flux. We establish the critical global existence exponent and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium. An asymptotic representation of the solution with a compact support is obtained, which made it possible to carry out a numerical experiment.

Topics

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Navier-Stokes equation solutions

Identifiers

DOI: 10.17586/2220-8054-2018-9-3-323-329

Citations and references

Cited by 10 12 references

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