Global regularity of 3D rotating Navier-Stokes equations for resonant domains

DOI10.1016/S0893-9659(99)00208-6zbMath0963.76020OpenAlexW2013742357MaRDI QIDQ1588774

A. Babin, Basil Nicolaenko, A. S. Makhalov

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00208-6

zbMATH Keywords

convergencethree-dimensional Navier-Stokes equationsglobal existenceglobal regularitylimit equationsbootstrapping methoddyadic decompositioninfinite time regularitylimit of strong rotationwaver resonances

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

• Invariant helical subspaces for the Navier-Stokes equations
• Resonances and regularity for Boussinesq equations
• Applications of Schochet's methods to parabolic equations
• On regularity of solutions of 3D navier-stokes equations
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Small denominators. I. Mappings of the circumference onto itself
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