Trajectory attractor for the \(2d\) dissipative Euler equations and its relation to the Navier-Stokes system with vanishing viscosity

DOI10.1134/S1064562407060130zbMath1387.35062MaRDI QIDQ957810

Mark I. Vishik, Vladimir V. Chepyzhov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Euler equations (35Q31)

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics.
• Lieb-Thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction
• Existence et unicité de la solution de l'équation d'Euler en dimension deux
• Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations
• Existence of Solutions to the Stommel–Charney Model of the Gulf Stream

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