Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian

DOI10.1515/ans-2017-6036zbMath1397.35312OpenAlexW2963778825MaRDI QIDQ1663690

Wenru Huo, Aimin Huang, Michael S. Jolly

Publication date: 22 August 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2017-6036

zbMATH Keywords

Boussinesq systemfractional LaplacianHausdorff and fractal dimensions, determining mode

Mathematics Subject Classification ID

Attractors (35B41) Meteorology and atmospheric physics (86A10) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Strong solutions to PDEs (35D35)

Related Items (6)

The attractors for the regularized Bénard problem with fractional Laplacian ⋮ Mathematical study of attractors to a 3D heated fluid ⋮ Determining modes and determining nodes for the 3D non-autonomous regularized magnetohydrodynamics equations ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations ⋮ Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with \((p, q)\)-growth nonlinearities ⋮ UPPER BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR A 3D MAGENETOHYDRODYNAMIC-<i>α</i> MODEL

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