A new class of variational-hemivariational inequalities for steady Oseen flow with unilateral and frictional type boundary conditions / Stanisław Migórski, Sylwia Dudek // ZAMM : Journal of Applied Mathematics ... więcej

A new class of variational-hemivariational inequalities for steady Oseen flow with unilateral and frictional type boundary conditions / Stanisław Migórski, Sylwia Dudek // ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für Angewandte Mathematik und Mechanik [Dokument elektroniczny]. – 2020, Vol. 100, Iss. 2, 23 s. – Tryb dostępu: https://onlinelibrary.wiley.com/doi/full/10.1002/zamm.201900112. – Oznaczenie ref./art.: e201900112. – Bibliogr. 46 poz., Streszcz. ang. – doi: 10.1002/zamm.201900112. – ISSN 1521-4001

We study a new class of elliptic variational-hemivariational inequalities in a reflexiveBanach space. Based on a surjectivity result for an operator inclusion of Clarke’s sub-differential type, we prove ... więcej

We study a new class of elliptic variational-hemivariational inequalities in a reflexiveBanach space. Based on a surjectivity result for an operator inclusion of Clarke’s sub-differential type, we prove existence of solution. Then, we apply this result to a math-ematical analysis of the steady Oseen model for a generalized Newtonian incompress-ible fluid. A variational-hemivariational inequality for the flow problem is derived andsufficient conditions for existence of weak solutions are obtained. The mixed bound-ary conditions involve a unilateral boundary condition, the Navier slip condition, anonmonotone version of the nonlinear Navier-Fujita slip condition, and the thresholdslip and leak condition of frictional type.