Local higher integrability for unsteady motion equations of generalized Newtonian fluids. (November 2020)

• Record Type: Journal Article
• Authors: Sin, Cholmin
• Is Part Of: Nonlinear analysis. Volume 200(2020)
• Publication Date: 2020-11
• Subjects: 35D30 -- 35D35 -- 76D03 -- 76A05; Weak solution -- Higher integrability -- Generalized Newtonian fluid -- Electrorheological 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.2020.112029
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we show local higher integrability of the gradient of weak solutions for unsteady motions of generalized Newtonian fluids including electrorheological fluids under the restriction p ( z ) ≥ 3 n + 2 n + 2 . Moreover, this is a new result even for corresponding Stokes setting or a system with p -structure depending on the symmetric gradient under the restriction p ( z ) > 2 n n + 2 .