Global weak solutions to a higher order nonlinear degenerate parabolic equation

DOI10.1016/j.jmaa.2018.02.052OpenAlexW2791652866MaRDI QIDQ1746675

Xiaoli Zhang, Chein-Shan Liu

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.052

zbMATH Keywords

Galerkin methodexistenceweak solutionsdegeneratesixth-order parabolic equation

Mathematics Subject Classification ID

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

Related Items (5)

On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential ⋮ The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations ⋮ Weak solutions for the functionalized Cahn–Hilliard equation with degenerate mobility ⋮ A class of fourth-order parabolic equation with logarithmic nonlinearity ⋮ Finite speed of propagation for the Cahn–Hilliard equation with degenerate mobility

Cites Work

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• The global solvability of a sixth order Cahn-Hilliard type equation via the Bäcklund transformation
• A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
• Compact sets in the space \(L^ p(0,T;B)\)
• On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
• A sixth-order thin film equation in two space dimensions
• On the convective Cahn-Hilliard equation with degenerate mobility
• Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions
• Study of weak solutions for a higher order nonlinear degenerate parabolic equation
• Ordinary Differential Equations and Dynamical Systems
• Optimal control for a sixth order nonlinear parabolic equation
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
• On a Class of Cahn--Hilliard Models with Nonlinear Diffusion
• Weak solutions for the Cahn-Hilliard equation with degenerate mobility

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