On the well posedness and large-time behavior for Boussinesq equations in Morrey spaces.

zbMath1249.35273MaRDI QIDQ417013

Lucas C. F. Ferreira, Marcelo Fernandes de Almeida

Publication date: 11 May 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Boussinesq equationmild solutionwell posednessMorrey space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Self-similar solutions to PDEs (35C06)

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On the stability of global solutions to the 3D Boussinesq system ⋮ Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains ⋮ A family of dissipative active scalar equations with singular velocity and measure initial data ⋮ A rescaled approach for the 3D-Boussinesq system in critical Fourier-Besov spaces ⋮ Fourier transform decay of distributions in Hardy-Morrey spaces ⋮ Time decay and stability of solutions for the 3D density-dependent incompressible Boussinesq system ⋮ On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame ⋮ Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations ⋮ Remarks on asymptotic behaviors of strong solutions to a viscous Boussinesq system ⋮ A 3D non-stationary Boussinesq system with Navier-slip boundary conditions ⋮ On uniqueness of mild solutions for Boussinesq equations in Morrey-type spaces

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