Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions. (April 2017)

• Record Type: Journal Article
• Authors: Szafraniec, Pawel
• Is Part Of: Nonlinear analysis. Volume 34(2017)
• Page Start: 403
• Page End: 415
• Publication Date: 2017-04
• Subjects: Evolution hemivariational inequality -- Clarke subdifferential -- Nonconvex -- Parabolic -- Weak solution -- Fluid mechanics; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.09.014
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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.