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Indexed by:期刊论文

Date of Publication:2014-01-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI

Volume:227

Page Number:1-10

ISSN No.:0096-3003

Key Words:Fourth-order parabolic; Thin film equation; Entropy functional

Abstract:In this paper, a thin film equation with a singular diffusion term u(t) + del . (u(n)del Delta u) + A del . (del u/u(alpha)) = 0 is studied with periodic boundary conditions in multidimensional space. It has a lot of applications in fluids theory such as draining of foams and the movement of contact lenses. In order to overcome the difficulty of singular diffusion term, the approximation problems need to be constructed and the entropy functional method is applied for the limit process. Moreover, a compactness argument shows the existence of nonnegative weak solutions. (C) 2013 Elsevier Inc. All rights reserved.