点击次数：

论文类型：期刊论文

发表时间：2014-01-15

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI

卷号：227

页面范围：1-10

ISSN号：0096-3003

关键字：Fourth-order parabolic; Thin film equation; Entropy functional

摘要：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.