Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions

We prove the existence of weak solutions for steady flows of electrorheological fluids with homogeneous Navier-slip type boundary conditions provided $p(x)>2n/(n+2)$. To prove this, we show Poincaré- and Korn-type inequalities, and then construct Lipschitz truncation functions preserving the...

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Bibliographic Details
Main Authors: Cholmin Sin, Sin-Il Ri
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/4/mb147_4_9.pdf