On global well-posedness for the 3D Boussinesq equations with fractional partial dissipation

DOI10.1016/j.aml.2018.10.009zbMath1410.35146OpenAlexW2898502452WikidataQ129048236 ScholiaQ129048236MaRDI QIDQ1726571

Xianqiang Yang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.009

zbMATH Keywords

Boussinesq equationsglobal regularityfractional partial dissipation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance ⋮ Global well-posedness of the \(n\)-dimensional hyper-dissipative Boussinesq system without thermal diffusivity ⋮ Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations ⋮ Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain ⋮ On the Boussinesq system: local well-posedness of the strong solution and inviscid limits

Cites Work

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• Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature
• The 3D incompressible Boussinesq equations with fractional partial dissipation
• Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
• On the global regularity of \(N\)-dimensional generalized Boussinesq system.
• Global regularity of \(N\)-dimensional generalized MHD system with anisotropic dissipation and diffusion

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