On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities
https://doi.org/10.17586/2220-8054-2018-9-3-323-329
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.
About the Authors
Z. R. Rakhmonov
National University of Uzbekistan, Applied Mathematics and Computer Analysis
Uzbekistan
Uzbekistan
Universitet, 4, Tashkent, 100174
A. I. Tillaev
National University of Uzbekistan, Applied Mathematics and Computer Analysis
Uzbekistan
Uzbekistan
Universitet, 4, Tashkent, 100174
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Review
For citations:
Rakhmonov Z.R., Tillaev A.I. On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(3):323-329. https://doi.org/10.17586/2220-8054-2018-9-3-323-329
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