Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations
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Publication:1033774
DOI10.1134/S1061920808020039zbMath1180.35420OpenAlexW1975985448MaRDI QIDQ1033774
Mark I. Vishik, Vladimir V. Chepyzhov
Publication date: 10 November 2009
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920808020039
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Euler equations (35Q31)
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Cites Work
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- Remarks on the damped stationary Euler equations
- Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Trajectory attractors for the 2D Navier-Stokes system and some generalizations
- Evolution equations and their trajectory attractors
- Trajectory and global attractors of the three-dimensional Navier-Stokes system.
- 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
