A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations

From MaRDI portal
Publication:1313273

DOI10.1007/BF02108078zbMath0790.35085OpenAlexW2044269570MaRDI QIDQ1313273

Vincent Xiaosong Liu

Publication date: 26 June 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108078




Related Items

On attractor’s dimensions of the modified Leray-alpha equationExtensivity of two-dimensional turbulenceSharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulenceRemarks on the navier-stokes equations on the two and three dimensional torusSharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equationsUpper bounds for the attractor dimension of damped Navier-Stokes equations in \(\mathbb R^2\)Lieb-Thirring inequalities on the torusAttractors for Nonautonomous Navier–Stokes System and Other Partial Differential EquationsInstability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes systemEstimating the number of asymptotic degrees of freedom for nonlinear dissipative systemsOptimal bounds on the dimension of the attractor of the Navier-Stokes equationsAttractors and finite-dimensional behaviour in the 2D Navier-Stokes equationsSome specific mathematical constraints on 2D turbulenceDynamics of 2D incompressible non-autonomous Navier-Stokes equations on Lipschitz-like domainsAttractor dimension estimates for two-dimensional shear flowsSharp dimension estimates of the attractor of the damped 2D Euler-Bardina equationsIncremental unknowns, multilevel methods and the numerical simulation of turbulenceLieb-Thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction



Cites Work