On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data

DOI10.1007/s00021-010-0030-1zbMath1270.35343OpenAlexW2057128592MaRDI QIDQ361143

Yoshikazu Giga, Tsuyoshi Yoneda, A. S. Makhalov

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-010-0030-1

zbMATH Keywords

Navier-Stokes equationsalmost periodic initial datafrequency sets and amplitudes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (3)

The MHD equations in the Lorentz space with time dependent external forces ⋮ Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data ⋮ Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain

Cites Work

• Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations
• Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data
• 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
• Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• The uniqueness of nondecaying solutions for the Navier-Stokes equations
• Global regularity of 3D rotating Navier-Stokes equations for resonant domains
• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
• A remark on \(L^{\infty}\) solutions to the 2-D Navier-Stokes equations
• 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
• On the Boussinesq Flow with Nondecaying Initial Data
• Global solubility of the three-dimensional Navier-Stokes equations with uniformly large initial vorticity
• Well-posedness for the Navier-Stokes equations
• Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity
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