On the convective Cahn-Hilliard equation with degenerate mobility

DOI10.1016/j.jmaa.2008.02.027zbMath1158.35077OpenAlexW2063265686MaRDI QIDQ2427753

Chein-Shan Liu

Publication date: 28 May 2008

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.2008.02.027

zbMATH Keywords

weak solutionexistenceinitial-boundary value problemconvective Cahn-Hilliard equationdegenerate mobilityfinite speed of propagation of perturbations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Perturbations in context of PDEs (35B20)

Related Items

Invariance of the support of solutions for a sixth-order thin film equation ⋮ Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case ⋮ On systems of Cahn-Hilliard and Allen-Cahn equations considered as gradient flows in Hilbert spaces ⋮ Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. ⋮ Global weak solutions to a higher order nonlinear degenerate parabolic equation ⋮ The Cauchy problem for the degenerate convective Cahn-Hilliard equation ⋮ Natural element analysis of the Cahn-Hilliard phase-field model ⋮ The existence of weak solutions for a nonlocal Cahn-Hilliard equation with degenerate mobility ⋮ Optimal control for the convective Cahn-Hilliard equation in 2D case ⋮ The Cahn-Hilliard type equations with periodic potentials and sources ⋮ Study of weak solutions for a higher order nonlinear degenerate parabolic equation ⋮ Finite speed of propagation for the Cahn–Hilliard equation with degenerate mobility ⋮ Optimal control of the convective Cahn–Hilliard equation ⋮ The stochastic Cahn–Hilliard equation with degenerate mobility and logarithmic potential

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