Self-similarity in viscous Boussinesq equations

DOI10.1090/S0002-9939-07-09063-6zbMath1136.35073MaRDI QIDQ5438458

Grzegorz Karch, Nicolas Prioux

Publication date: 23 January 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsnatural convectionlarge time asymptoticsBoussinesq system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (10)

Partial regularity of the suitable weak solutions to the multi-dimensional incompressible Boussinesq equations ⋮ Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains ⋮ Global well-posedness and long time decay of the 3D Boussinesq equations ⋮ Global solutions to 3D rotating Boussinesq equations in Besov spaces ⋮ Well-posedness for the Boussinesq system in critical spaces via maximal regularity ⋮ Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces ⋮ Optimal initial value conditions for the existence of strong solutions of the Boussinesq equations ⋮ Existence and asymptotic behavior to the incompressible nematic liquid crystal flow in the whole space ⋮ Remarks on asymptotic behaviors of strong solutions to a viscous Boussinesq system ⋮ Large time decay and growth for solutions of a viscous Boussinesq system

Cites Work

• Scaling in nonlinear parabolic equations
• On a class of stable steady flows to the exterior convection problem
• Smooth or singular solutions to the Navier-Stokes system?
• About the regularized Navier-Stokes equations
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