Study of weak solutions for a higher order nonlinear degenerate parabolic equation

DOI10.1080/00036811.2015.1074679zbMath1346.35114OpenAlexW2253563862MaRDI QIDQ2825383

Chein-Shan Liu, Hui Tang

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1074679

zbMATH Keywords

existencedegeneratenonnegativitysixth-order nonlinear parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (2)

Global existence of weak solutions to a higher-order parabolic system ⋮ Global weak solutions to a higher order nonlinear degenerate parabolic equation

Cites Work

• A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
• Higher order nonlinear degenerate parabolic equations
• On the partial regularity of weak solutions on nonlinear parabolic systems
• On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
• Finite element approximation of a sixth order nonlinear degenerate parabolic equation
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
• On the convective Cahn-Hilliard equation with degenerate mobility
• Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions
• Global rough solutions to the sixth-order Boussinesq equation
• Optimal control for a sixth order nonlinear parabolic equation
• Selfsimilar blowup of unstable thin-film equations
• Moving-boundary and fixed-domain problems for a sixth-order thin-film equation
• A Sixth-Order Nonlinear Parabolic Equation for Quantum Systems
• Stationary Solutions of Driven Fourth- and Sixth-Order Cahn–Hilliard-Type Equations
• On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
• On the Cahn–Hilliard Equation with Degenerate Mobility
• On a Class of Cahn--Hilliard Models with Nonlinear Diffusion
• Weak solutions for a high-order pseudo-parabolic equation with variable exponents
• Unstable sixth-order thin film equation: I. Blow-up similarity solutions
• Unstable sixth-order thin film equation: II. Global similarity patterns

This page was built for publication: Study of weak solutions for a higher order nonlinear degenerate parabolic equation