Electrified thin films: global existence of non-negative solutions

DOI10.1016/J.ANIHPC.2012.01.003zbMath1308.35123arXiv1102.0949OpenAlexW3100690826MaRDI QIDQ432269

Cyril Imbert, Antoine Mellet

Publication date: 4 July 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0949

zbMATH Keywords

thin film equationhigher order equationnon-local equationnon-negative solutions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Thin films (74K35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)

Related Items (3)

Stability, Instability, and Bifurcation in Electrified Thin Films ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ BD entropy and Bernis-Friedman entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the equation of a curved flame front
• Higher order nonlinear degenerate parabolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• On Berni's interpolation inequalities in multiple space dimensions
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• Existence of solutions for a higher order non-local equation appearing in crack dynamics
• On a free boundary problem associated with combustion and solidification
• Long-wave instabilities and saturation in thin film equations
• The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
• On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
• Blowup and dissipation in a critical-case unstable thin film equation
• Nonlinear Dynamics of Electrified Thin Liquid Films

This page was built for publication: Electrified thin films: global existence of non-negative solutions