On regularity of solutions of 3D navier-stokes equations

DOI10.1080/00036819908840713zbMath1022.76010OpenAlexW2071572600WikidataQ58251826 ScholiaQ58251826MaRDI QIDQ4487766

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Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840713

zbMATH Keywords

Coriolis forceperiodic boundary conditionsFourier seriesresonancesrotating framevariation-of-constants formulacontinuous dependence of solutions on data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

Fast Singular Oscillating Limits and Global Regularity for the 3D Primitive Equations of Geophysics ⋮ Global regularity of 3D rotating Navier-Stokes equations for resonant domains

Cites Work

• Unnamed Item
• On nonlinear baroclinic waves and adjustment of pancake dynamics
• Applications of Schochet's methods to parabolic equations
• On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Averaging over fast gravity waves for geophysical flows with arbitary

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