Remarks on the navier-stokes equations on the two and three dimensional torus

DOI10.1080/03605309408821038zbMath0817.35072OpenAlexW2008927932MaRDI QIDQ4299399

Vincent Xiaosong Liu

Publication date: 17 July 1995

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309408821038

zbMATH Keywords

attractorsHausdorff dimensiontoroidal domainexistence of global regular time-dependent solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30)

Related Items (5)

Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations ⋮ Singular limits of Voigt models in fluid dynamics ⋮ Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system ⋮ Optimal bounds on the dimension of the attractor of the Navier-Stokes equations ⋮ Lieb-Thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction

Cites Work

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• Attractors of partial differential evolution equations and estimates of their dimension
• Attractors representing turbulent flows
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• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• An Example of Instability for the Navier–Stokes Equations on the 2–dimensional Torus

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