Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation

DOI10.1016/j.na.2008.12.014zbMath1198.35134OpenAlexW2018173872MaRDI QIDQ1030029

Yanyan Zhang

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.014

zbMATH Keywords

convergence to equilibriumsteady stateshomogeneous Neumann boundary conditionsthin film equationpositive stationary states

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Degenerate parabolic equations (35K65)

Related Items (7)

Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure ⋮ Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements ⋮ On steady-state solutions of a 1-D chemotaxis model with volume-filling effect ⋮ Singular behavior of an electrostatic-elastic membrane system with an external pressure ⋮ The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect ⋮ The Thin Film Equation with Non-Zero Contact Angle: A Singular Perturbation Approach ⋮ Effect of disjoining pressure in a thin film equation with non-uniform forcing

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