Dimensions of attractors for discretizations for Navier-Stokes equations

DOI10.1007/BF01049389zbMath0756.65146MaRDI QIDQ1188335

Yin Yan

Publication date: 13 August 1992

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsfinite differencesHausdorff dimensionglobal attractorsglobal solutionsfractal dimensions

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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05)

Related Items (5)

Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation ⋮ Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system ⋮ Discrete gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the ginzburg–landau equation ⋮ Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation ⋮ Dimension of the global attractor for the discretized damped sine-Gordon equation

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• A dynamical system generated by the Navier-Stokes equations
• Linear and quasilinear elliptic equations
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
• Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations
• Comparison of Numerical Methods for the Calculation of Two-Dimensional Turbulence
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