Finite-element-based Faedo-Galerkin weak solution to the Navier-Stokes equation in the three-dimensional torus are suitable

DOI10.1016/J.CRMA.2005.09.013zbMath1081.35077OpenAlexW1996727389MaRDI QIDQ2573977

Jean-Luc Guermond

Publication date: 25 November 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.09.013

zbMATH Keywords

Navier-Stokes equationssuitable weak solutionsFaedo-Galerkin approximations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Hausdorff measure and the Navier-Stokes equations
• On the suitable weak solutions to the Navier-Stokes equations in the whole space
• On the construction of suitable weak solutions to the Navier-Stokes equations via a general approximation theorem
• On partial regularity for weak solutions to the Navier-Stokes equations
• Finite-element-based Faedo-Galerkin weak solutions to the Navier--Stokes equations in the three-dimensional torus are suitable
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• The discrete commutator property of approximation spaces

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