On a vector version of a fundamental lemma of J. L. Lions

DOI10.1007/s11401-018-1049-5zbMath1398.46028OpenAlexW2781679978WikidataQ125030379 ScholiaQ125030379MaRDI QIDQ1696635

Philippe G. Ciarlet, Christinel Mardare, Maria Mălin

Publication date: 14 February 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1049-5

zbMATH Keywords

Donati compatibility conditionsJ. L. Lions lemmaNečas inequalitySaint-Venant compatibility conditions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (8)

L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ On the divergence problem in some particular domains ⋮ Polynomial estimates for transmission problems on domains with flat boundary ⋮ Trace Operator's range characterization for Sobolev spaces on Lipschitz domains of \(\mathbb{R}^2\) ⋮ \(L^p\)-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with \(p\)-integrable exterior derivative ⋮ Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics

Cites Work

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• On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
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• On Poincaré's and J. L. Lions' lemmas
• On a lemma of Jacques-Louis Lions and its relation to other fundamental results
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS
• Finite Element Methods for Navier-Stokes Equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Functional spaces for norton‐hoff materials
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