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Global attractor for the 1-D thin film equation. (English) Zbl 1223.35081
Summary: This paper is concerned with a fourth-order degenerate parabolic equation, namely the thin film equation, in one space dimension which describes the dewetting phenomenon of a thin film under the long-range attractive force and the short-range stabilizing effect of Born repulsion. The existence of global attractor is proved.
MSC:
35B41Attractors (PDE)
35K35Higher order parabolic equations, boundary value problems
37L30Attractors and their dimensions, Lyapunov exponents
76A20Thin fluid films (fluid mechanics)
35K65Parabolic equations of degenerate type
35Q53KdV-like (Korteweg-de Vries) equations