Well-posedness of the viscous boussinesq system in besov spaces of negative regular index s = −1

DOI10.1063/1.4732521zbMath1277.76010arXiv1105.2722OpenAlexW2092318633MaRDI QIDQ2865525

Chao Deng, Shang-bin Cui

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2722

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial value problems for second-order hyperbolic equations (35L15) Forced convection (76R05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

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

Cites Work

• Unnamed Item
• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
• On the global well-posedness for Boussinesq system
• Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• Uniqueness theorems for the three dimensional Navier-Stokes system
• Global well-posedness of the viscous Boussinesq equations
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Anisotropic function spaces and elliptic boundary value problems
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• On the Boussinesq Flow with Nondecaying Initial Data
• Existence of solutions to the convection problem in a pseudomeasure-type space