A viscous thin-film equation with a singular diffusion

DOI10.1186/s13661-016-0651-2zbMathNoneOpenAlexW2505069024WikidataQ59466761 ScholiaQ59466761MaRDI QIDQ308527

Xiting Peng, Bo Liang, Min Pang, Ying Wang

Publication date: 6 September 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0651-2

zbMATH Keywords

singular diffusionentropy functionalfourth-order parabolicthin-film equation

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Existence and asymptotic behavior of solutions to a thin film equation with Dirichlet boundary
• Higher order nonlinear degenerate parabolic equations
• A generalized thin-film equation in multidimensional space
• Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth order
• On the Cahn-Hilliard equation
• Compact sets in the space \(L^ p(0,T;B)\)
• Doubly nonlinear thin-film equations in one space dimension
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
• Fujita-type conditions for fast diffusion equation with variable source
• Thin Films with High Surface Tension
• Existence and positivity of solutions of a fourth‐order nonlinear PDE describing interface fluctuations
• 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
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

This page was built for publication: A viscous thin-film equation with a singular diffusion