Stanislaw Migórski (Jagiellonian University, Polonia)
In this talk we study the stationary two dimensional incompressible flow of non-Newtonian fluid governed by a nonlinear constitutive law and with a multivalued nonmonotone subdifferential frictional boundary condition. We provide a result on existence of solution to an abstract operator inclusion modeling the flow phenomenon. We prove a theorem on existence and, under additional assumptions, also uniqueness of weak solution to the flow problem.
References
[1] S. Dudek, P. Kalita, S. Migorski, Stationary flow of nonNewtonian fluid with nonmonotone frictional boundary conditions, Zeitschrift f¨ur Angewandte Mathematik und Physik, 2015, in press.
[2] S. Migorski, A. Ochal, M. Sofonea, Nonlinear Inclusions and Hemivariational Inequalities. Models and Analysis of Contact Problems, Advances in Mechanics and Mathematics, vol. 26, Springer, New York, 2013.
[3] Advances in Variational and Hemivariational Inequalities with Applications, A book edited by W. Han. S. Migorski, M. Sofonea, in Series: Advances in Mechanics and Mathematics, vol. 33, 2015.