Global regularity results for the 2D Boussinesq equations and micropolar equations with partial dissipation

DOI10.1016/j.jde.2019.08.037zbMath1427.35217OpenAlexW2970303655MaRDI QIDQ2333392

Yanyan Li

Publication date: 13 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.08.037

zbMATH Keywords

Boussinesq equationsglobal regularitymicropolar equationspartial dissipation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items

Well-posedness and attractors for a 2D Boussinesq system with partial dissipation, Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium, Global well-posedness to the Cauchy problem of 2D density-dependent micropolar equations with large initial data and vacuum, Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity, Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain, Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space, On the Boussinesq system: local well-posedness of the strong solution and inviscid limits

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