Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data

DOI10.1007/s00205-010-0360-4zbMath1229.35193OpenAlexW2085431259MaRDI QIDQ717465

Tsuyoshi Yoneda

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-010-0360-4

Mathematics Subject Classification ID

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

Related Items (11)

On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data ⋮ Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\) ⋮ On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations ⋮ Resonant interaction of Rossby waves in two-dimensional flow on a \(\beta\) plane ⋮ Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type ⋮ On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame ⋮ Uniform exponential stability of the Ekman spiral ⋮ Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data ⋮ Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity ⋮ Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain ⋮ Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching

Cites Work

• On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data
• Kelvin's discovery of Taylor columns
• Uniform local solvability for the Navier-Stokes equations with the Coriolis force
• On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data
• Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets
• Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
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