The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations

DOI10.1142/S0219530519500234zbMath1444.42023OpenAlexW2998035898MaRDI QIDQ3298575

Weiwei Hu, Yichen Dai, Jiahong Wu, Bei Xiao

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1142/s0219530519500234

zbMATH Keywords

uniquenessweak solutionsBoussinesq equationsLittlewood-Paleyperiodic domain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

Related Items (7)

Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global regularity of the three-dimensional fractional micropolar equations ⋮ Energy conservation of weak solutions for the incompressible Euler equations via vorticity ⋮ Analytical properties for a stochastic rotating shallow water model under location uncertainty ⋮ Regularity and attractors for the three‐dimensional generalized Boussinesq system ⋮ Global regularity for the 2D MHD and tropical climate model with horizontal dissipation ⋮ The stabilizing effect of the temperature on buoyancy-driven fluids

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