On a degenerate parabolic system

DOI10.1016/j.jde.2008.03.017zbMath1157.35062OpenAlexW2077611030MaRDI QIDQ932843

Hong-Ming Yin

Publication date: 11 July 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.017

zbMATH Keywords

existence and uniquenessRothe's methodDegenerate parabolic systemregularity of weak solutionuniform estimates for the approximation solution

Mathematics Subject Classification ID

Related Items (7)

Critical local well‐posedness for the fully nonlinear Peskin problem ⋮ System of porous medium equations ⋮ Monotonicity methods for nonlinear diffusion equations and their approximations with error estimates ⋮ Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems ⋮ A parabolic-elliptic chemotaxis system with nonlinear diffusion approached from a Cahn-Hilliard-type system ⋮ Hölder regularity for porous medium systems ⋮ Properties of generalized degenerate parabolic systems

Cites Work

• Degenerate parabolic equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• A boundary modulus of continuity for a class of singular parabolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• A degenerate evolution system modeling Bean's critical-state type-II superconductors
• Nucleation of instability of the Meissner state of 3-dimensional superconductors
• A Hierarchy of Models for Type-II Superconductors
• On a 𝑝-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory
• Convergence of Meissner Minimizers of the Ginzburg--Landau Energy of Superconductivity as $\kappa\to +\infty$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a degenerate parabolic system