APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM

DOI10.1142/S0219530511001935zbMath1231.65147MaRDI QIDQ3096974

Florentina Tone, Xiaoming Wang

Publication date: 15 November 2011

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principleBoussinesq approximationglobal attractordiscrete Gronwall lemmasstationary statistical propertiesRayleigh-Bénard convection problemsemi-implicit Euler scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free convection (76R10)

Related Items (8)

Long-time dynamics of a regularized family of models for homogeneous incompressible two-phase flows ⋮ Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation ⋮ Multivalued attractors and their approximation: applications to the Navier-Stokes equations ⋮ Approximation of the Long-Time Dynamics of the Dynamical System Generated by the Ginzburg-Landau Equation ⋮ Long time stability of a classical efficient scheme for an incompressible two-phase flow model ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮ Approximation of the long-term dynamics of the dynamical system generated by the multilayer quasigeostrophic equations of the ocean ⋮ Numerical algorithms for stationary statistical properties of dissipative dynamical systems

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