Existence and uniqueness of local solutions to a class of quasilinear degenerate parabolic systems

DOI10.1016/j.amc.2007.02.007zbMath1132.35390OpenAlexW1964207951MaRDI QIDQ2383861

Wen-jie Gao, Ying-Jie Wei

Publication date: 19 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.007

zbMATH Keywords

non-Newtonian fluidsnonlinear filtration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Related Items (1)

Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solutions for quasilinear parabolic systems.
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Blowup in Reaction-Diffusion Systems with Dissipation Of Mass
• On the equation of turbulent filtration in one- dimensional porous media
• A maximum principle for semilinear parabolic systems and applications

This page was built for publication: Existence and uniqueness of local solutions to a class of quasilinear degenerate parabolic systems