GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE

DOI10.1017/S1446181108000242zbMath1178.35203OpenAlexW1980284903MaRDI QIDQ5191230

Jun Zhou, Chun-Lai Mu

Publication date: 29 July 2009

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181108000242

zbMATH Keywords

doubly degenerate systems

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (11)

Blow-up for an evolution \(p\)-Laplace system with nonlocal sources and inner absorptions ⋮ Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source ⋮ Solutions for a nonlocal elliptic system with general growth ⋮ Unnamed Item ⋮ Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions ⋮ Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions ⋮ Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content ⋮ Asymptotic property of singular solutions in some nonstandard parabolic equation ⋮ Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source ⋮ A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions ⋮ Critical exponents in a doubly degenerate nonlinear parabolic system with inner absorptions

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