Uniqueness for the Navier–Stokes problem: remarks on a theorem of Jean–Yves Chemin

DOI10.1088/0951-7715/20/6/009zbMath1129.35058OpenAlexW2029780746MaRDI QIDQ5296067

Pierre Gilles Lemarié Rieusset

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/6/009

zbMATH Keywords

regularityuniquenesssemigroupweak solutionsmild solutionSobolev inequalityNavier-Stokes systemLeray's projection operator

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations ⋮ Uniqueness of weak solution to the generalized magneto-hydrodynamic system ⋮ Extension of a uniqueness class for the Navier-Stokes equations ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ On the uniqueness of weak solutions for the 3D Navier-Stokes equations ⋮ Uniqueness of solutions of Navier-Stokes equations in Morrey-Campanato spaces ⋮ Remarks on logarithmical regularity criteria for the Navier–Stokes equations

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