The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case

DOI10.3934/dcdsb.2016059zbMath1352.35190arXiv1504.00716OpenAlexW2963043472MaRDI QIDQ325771

Wenru Huo, Aimin Huang

Publication date: 11 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00716

zbMATH Keywords

global attractorBoussinesq systemfractional Laplacian

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Fractional derivatives and integrals (26A33) Meteorology and atmospheric physics (86A10) Attractors of solutions to ordinary differential equations (34D45) Bifurcations in context of PDEs (35B32) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Strong solutions to PDEs (35D35)

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The global attractor of the 2D Boussinesq system with fractional vertical dissipation ⋮ Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian ⋮ The attractors for the regularized Bénard problem with fractional Laplacian ⋮ Mathematical study of attractors to a 3D heated fluid ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations ⋮ Finite-dimensional global attractor for globally modified Navier–Stokes equations with fractional dissipation ⋮ Long time behavior of solutions to 3D generalized MHD equations

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