Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law

Bibliographic description

punktacja MNiSW [2018 A]: 25

title:	Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law
author:	Migórski Stanisław , Dudek Sylwia
journal title:	Journal of Mathematical Fluid Mechanics
volume:	20
issue:	3
date of publication :	2018
pages:	1317-1333
ISSN:	1422-6928
eISSN:	1422-6952
DOI:	10.1007/s00021-018-0367-4
language:	English
journal language:	English
abstract in English:	The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions. First, we provide a result on existence of a unique solution to an abstract evolutionary inclusion involving the Clarke subdifferential term for a nonconvex function. We employ a method based on a surjectivity theorem for multivalued L-pseudomonotone operators. Then, we exploit the abstract result to prove the weak unique solvability of the Oseen system.
keywords in English:	Oseen model, generalized Newtonian fluid, hemivariational inequality, L-pseudomonotonicity, Clarke subdifferential, friction-type law, slip boundary condition
affiliation:	Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
type:	journal article
subtype:	academic paper