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

DOI10.21136/MB.2022.0200-20OpenAlexW4210831721MaRDI QIDQ5878495

Sin-Il Ri, Cholmin Sin

Publication date: 21 February 2023

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2022.0200-20

zbMATH Keywords

existence of weak solutionselectrorheological fluidvariable exponentLipschitz truncation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Estimating the gradient of vector fields via div and curl in variable exponent Sobolev spaces

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