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Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions |
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| Institution: | 1. Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 7350), Fédération Denis Poisson (FR CNRS 2964), Université François Rabelais Tours, Parc de Grandmont, 37200 Tours, France;2. Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla: v-110, Avda. España 1680, Valparaíso, Chile;1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy;2. Università di Torino, Dipartimento di Matematica “G. Peano”, Via Carlo Alberto 10, 10123 Torino, Italy |
| 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. |
| Keywords: | Evolution hemivariational inequality Clarke subdifferential Nonconvex Parabolic Weak solution Fluid mechanics |
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