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Zbl 1223.35081
Wu, Hao; Zheng, Songmu
Global attractor for the 1-D thin film equation. (English)
[J] Asymptotic Anal. 51, No. 2, 101-111 (2007). ISSN 0921-7134; ISSN 1875-8576/e

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 2000:: *35B41 Attractors
35K35 Higher order parabolic equations, boundary value problems
37L30 Attractors and their dimensions
76A20 Thin fluid films
35K65 Parabolic equations of degenerate type
35Q53 KdV-like equations

Keywords: thin film equation; global attractor

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