On the construction of suitable weak solutions to the Navier-Stokes equations via a general approximation theorem

zbMath0615.35068MaRDI QIDQ1820932

Hugo Beirão da Veiga

Publication date: 1985

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceNavier-Stokes equationsweak solutionsapproximationBanach spaceviscous incompressible fluidstrongly measurable functionslocal energy estimate

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for higher-order parabolic equations (35K35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Applications to the sciences (65Z05) Banach spaces of continuous, differentiable or analytic functions (46E15)

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