On the Properties of Solutions of Multidimensional Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Condition in the Case of Fast Diffusion

DOI10.17516/1997-1397-2016-9-2-225-234OpenAlexW2525684073MaRDI QIDQ5852983

Zafar R. Rakhmonov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu480

zbMATH Keywords

filtrationasymptoticscritical exponentinhomogeneous density

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (1)

The Critical Curves of a Doubly Nonlinear Parabolic Equation in Non-divergent form with a Source and Nonlinear Boundary Flux

Cites Work

• Unnamed Item
• Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source
• Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
• Critical exponents for a fast diffusive polytropic filtration equation with nonlinear boundary flux
• The problem of blow-up in nonlinear parabolic equations
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• CRITICAL FUJITA EXPONENT FOR A FAST DIFFUSIVE EQUATION WITH VARIABLE COEFFICIENTS
• Critical exponents for the heat conduction equation with a nonlinear boundary condition
• Critical Fujita exponents of degenerate and singular parabolic equations

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