Local existence and blow‐up criterion for the generalized Boussinesq equations in Besov spaces

DOI10.1002/mma.2573zbMath1257.35153OpenAlexW2130018469MaRDI QIDQ4907175

Yi Du, Zheng-An Yao, Hua Qiu

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2573

zbMATH Keywords

local existenceregularity criteriongeneralized Boussinesq equationsLittlewood--Paley decomposition

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) Fractional partial differential equations (35R11)

Related Items (8)

Global well-posedness for 3D generalized Navier-Stokes-Boussinesq equations ⋮ Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations ⋮ Stability of the 3D Boussinesq equations with partial dissipation near the hydrostatic balance ⋮ Regularity and attractors for the three‐dimensional generalized Boussinesq system ⋮ The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations ⋮ On the regularity criterion for the 2D Boussinesq equations involving the temperature ⋮ Blow-up criterion of smooth solutions for the Boussinesq equations ⋮ A 3D non-stationary Boussinesq system with Navier-slip boundary conditions

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