Dynamical properties of spatially non-decaying 2D Navier-Stokes flows with Kolmogorov forcing in an infinite strip

DOI10.1007/s00021-004-0131-9zbMath1062.35057OpenAlexW2079236697WikidataQ59901989 ScholiaQ59901989MaRDI QIDQ1773130

Andrei L. Afendikov, Alexander Mielke

Publication date: 25 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00021-004-0131-9

zbMATH Keywords

stabilityGrashof numberCouette flowRiesz operatorsHelmholtz projectioneddy viscosityKolmogorov flow2D Navier-Stokes problemspatially non-decaying initial data

Mathematics Subject Classification ID

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

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Distribution of energy and convergence to equilibria in extended dissipative systems ⋮ Energy Bounds for the Two-Dimensional Navier-Stokes Equations in an Infinite Cylinder ⋮ On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder ⋮ Contour Dynamics and Global Regularity for Periodic Vortex Patches and Layers ⋮ Infinite energy solutions of the two-dimensional Navier–Stokes equations ⋮ Infinite-energy solutions for the Navier-Stokes equations in a strip revisited ⋮ Infinite energy solutions for damped Navier-Stokes equations in \({\mathbb{R}^2}\) ⋮ SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP ⋮ Uniform boundedness and long-time asymptotics for the two-dimensional Navier-Stokes equations in an infinite cylinder

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