Local Well-Posedness of the Anisotropic Lagrangian Averaged Navier–Stokes Equations with Stokes Projector Viscosity

DOI10.1080/03605300600781584zbMath1106.35067OpenAlexW1979917764MaRDI QIDQ5491389

James P. Peirce

Publication date: 11 October 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600781584

zbMATH Keywords

Navier-Stokes equationsturbulencestrong solutionaveragingLeray projectorgeneralized Stokes projector

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions

Cites Work

• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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