An existence result for non-Newtonian fluids in non-regular domains

DOI10.3934/dcdss.2010.3.255zbMath1193.35150OpenAlexW2025667278MaRDI QIDQ983433

Lars Diening, Michael Ružička

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.255

zbMATH Keywords

domain decompositionnon-Newtonian fluidsJohn domainselectrorheological fluidsKorn's inequalitydivergence equationLebesgue and Sobolev spaces with variable exponentsLipschitz truncation methodtheorem of de Rham

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) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Inequalities involving derivatives and differential and integral operators (26D10)

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