Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions

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• 作者：Pawel Szafraniec ^{pawel.szafraniec.wmii@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Evolution hemivariational inequality ; Clarke subdifferential ; Nonconvex ; Parabolic ; Weak solution ; Fluid mechanics
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：403-415
• 全文大小：643 K

文摘

In this paper we prove the existence and regularity of a solution to a two-dimensional system of evolutionary hemivariational inequalities which describes the Boussinesq model with nonmonotone friction and heat flux. We use the time retardation and regularization technique, combined with a regularized Galerkin method, and recent results from the theory of hemivariational inequalities.