W. Han†
Abstract: In this paper, we study a new class of mixed hemivariational-variational inequalities in which both the non-smooth convex functional and the non-smooth non-convex functional can depend on two arguments. We present solution existence and uniqueness results. Then, we apply the theoretical results on a mixed hemivariational-variational inequality in the study of a stationary incompressible flow of Bingham type fluid subject to non-smooth non-monotone slip boundary condition.
MSC: 49J40, 35J50, 76A05, 76D03. :contentReference[oaicite:2]{index=2}
keywords: Mixed hemivariational-variational inequality, well-posedness, Banach fixed-point, Bingham type fluid.
DOI 10.56082/annalsarscimath.2023.1-2.330
†weimin-han@uiowa.edu, Department of Mathematics, University of Iowa, Iowa City, IA 52242-1410, USA.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
