Invariance of the support of solutions for a sixth-order thin film equation

DOI10.1016/j.crma.2015.10.002zbMath1338.35216OpenAlexW1886213273MaRDI QIDQ282713

Xiaoli Zhang, Chein-Shan Liu

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.10.002

zbMATH Keywords

degenerateinvariance of supportsixth order nonlinear parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Weak solutions to PDEs (35D30) Higher-order parabolic equations (35K25)

Related Items (1)

Finite speed of propagation for the Cahn–Hilliard equation with degenerate mobility

Cites Work

• Finite speed of propagation for thin viscous flows over an inclined plane
• Higher order nonlinear degenerate parabolic equations
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Finite speed of propagation and continuity of the interface for thin viscous flows
• The thin film equation with \(2\leq n < 3\): Finite speed of propagation in terms of the \(L^1\)-norm
• A sixth-order thin film equation in two space dimensions
• Solutions with compact support to the Cauchy problem of an equation modeling the motion of viscous droplets
• On the convective Cahn-Hilliard equation with degenerate mobility
• QUALITATIVE PROPERTIES FOR A SIXTH–ORDER THIN FILM EQUATION
• Moving-boundary and fixed-domain problems for a sixth-order thin-film equation
• Finite-length mask effects in the isolation oxidation of silicon
• Unstable sixth-order thin film equation: I. Blow-up similarity solutions
• Unstable sixth-order thin film equation: II. Global similarity patterns

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