Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model

DOI10.1134/S0081543807040098zbMath1161.35461MaRDI QIDQ2377585

Sergej B. Kuksin

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic boundary conditionNavier-Stokes equationWhitham equationdamped/driven KdV equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Navier-Stokes equations (35Q30)

Related Items (6)

Damped-driven KdV and effective equations for long-time behaviour of its solutions ⋮ Invariant measure selection by noise. An example ⋮ On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity ⋮ Existence of invariant measures for the stochastic damped KdV equation ⋮ Unnamed Item ⋮ On inviscid limits for the stochastic Navier-Stokes equations and related models

Cites Work

• The Eulerian limit for 2D statistical hydrodynamics
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Topological methods in hydrodynamics
• Khasminskii-Whitham averaging for randomly perturbed KdV equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• Real Analysis and Probability

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