On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions

DOI10.1007/s00013-020-01557-xzbMath1465.35333OpenAlexW3118919209MaRDI QIDQ2025604

Weinan Wang

Publication date: 14 May 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01557-x

zbMATH Keywords

stabilityBoussinesq equationsNavier boundary conditions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (4)

Norm inflation for the Boussinesq system ⋮ On the global regularity for a 3D Boussinesq model without thermal diffusion ⋮ Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions ⋮ On asymptotic stability of the 3D Boussinesq equations with a velocity damping term

Cites Work

• Unnamed Item
• The global \(L^2\) stability of solutions to three dimensional MHD equations
• On the Boussinesq system: regularity criteria and singular limits
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
• On the stability problem for the Boussinesq equations in weak-\(L^p\) spaces
• Global stability of large solutions to the 3D Navier-Stokes equations
• Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions
• Global well-posedness of the viscous Boussinesq equations
• Partially dissipative 2D Boussinesq equations with Navier type boundary conditions
• On the Boussinesq system: local well-posedness of the strong solution and inviscid limits
• Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity
• On the global regularity for a 3D Boussinesq model without thermal diffusion
• Almost sure existence of global weak solutions to the Boussinesq equations
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On the stability of global solutions to the 3D Boussinesq system
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Large time decay and growth for solutions of a viscous Boussinesq system
• Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux
• Local existence and blow-up criterion for the Boussinesq equations
• Applied Analysis of the Navier-Stokes Equations
• On the regularity for the Boussinesq equations in a bounded domain
• Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity

This page was built for publication: On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions