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The conditions of global existence of solutions of a nonlinear filtration problem in an inhomogeneous medium are investigated in this paper. Various techniques such as the method of standard equations, self-similar analysis and the comparison principle are used to obtain results. The influence of in...

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Bibliographic Details
Published in:Journal of Siberian Federal University. Mathematics & Physics 2016-01, Vol.9 (2), p.235-235
Main Authors: Sergienko, Roman B, Shan, Muhammad, Minker, Wolfgang, Semenkin, Eugene S
Format: Article
Language:English
Subjects:
Asymptotic properties
Evolution
Exponents
Filtration
Mathematical analysis
Self-similarity
Weighting methods
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Summary:The conditions of global existence of solutions of a nonlinear filtration problem in an inhomogeneous medium are investigated in this paper. Various techniques such as the method of standard equations, self-similar analysis and the comparison principle are used to obtain results. The influence of inhomogeneous medium on the evolution process is analyzed. The critical global existence exponent and the critical Fujita exponent are obtained. Asymptotic behavior of solutions in the case of the global solvability is established.
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2016-9-2-235-245