paper

Evolution Boussinesq model with nonmonotone friction and heat flux boundary conditions

arXiv:1901.08636 · doi:10.1016/j.nonrwa.2016.09.014

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.

17 pages

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