Critical exponents for the multidimensional polytrophic filtration problem with a variable coefficients and nonlocal boundary condition

Autor:	Mersaid Aripov, Zafar Rakhmonov
Rok vydání:	2016
Předmět:	Variable coefficient Nonlinear system Thermal conductivity Mathematical analysis Nonlocal boundary Exponent Filtration (mathematics) General Earth and Planetary Sciences Polytropic process Diffusion (business) General Environmental Science Mathematics
Zdroj:	Contemporary Analysis and Applied Mathematics. 4
ISSN:	2149-861X 2147-3730
DOI:	10.18532/caam.52641
Popis:	In this paper we study the global solvability and no solvability conditions of a multidimensional nonlinear problem of non-Newtonian filtration with nonlocal boundary condition in the slow diffusion case. Establish the critical global existence exponent and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium, which play an important role in the study of qualitative properties of nonlinear models of reaction - diffusion, thermal conductivity, filtering, and other physical, chemical, and biological processes. In the global solvability case the main terms of the asymptotic of solutions is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cfa018f748a920782a8499a0509fa8f0 https://doi.org/10.18532/caam.52641 Zobrazit plný text záznamu