The existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition. (November 2017)

• Record Type: Journal Article
• Authors: Sin, Cholmin
• Is Part Of: Nonlinear analysis. Volume 163(2017)
• Page Start: 146
• Page End: 162
• Publication Date: 2017-11
• Subjects: 35D30 -- 76D03 -- 76A05; Nonhomogeneous Dirichlet boundary condition -- Electrorheological fluid -- Existence -- Weak solution -- Non-Newtonian fluid -- Variable exponent; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.06.014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we show the existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition under the condition p ( x ) > 2 n n + 2, n = 2, 3 . In particular, we improve a priori estimate for weak solutions to the problem with min p ( x ) < 2, which is an improvement even for constant p .