Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition

DOI10.1186/1687-2770-2012-20zbMath1282.35276OpenAlexW2117766251WikidataQ59290415 ScholiaQ59290415MaRDI QIDQ361624

Jishan Fan, Gen Nakamura, Liangbing Jin, Yong Zhou

Publication date: 29 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-20

zbMATH Keywords

slip boundary conditionBoussinesq systeminviscid limit

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Local existence and blow-up criterion of the ideal density-dependent flows ⋮ Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains ⋮ Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition ⋮ Uniform Regularity of the Magnetic Bénard Problem in a Bounded Domain ⋮ Uniform global strong solutions of the 2D density-dependent incompressible magnetic Bénard problem in a bounded domain ⋮ Uniform global strong solutions of the 2D magnetic Bénard problem in a bounded domain ⋮ Global strong solutions of the 2D density-dependent incompressible magnetic Bénard problem ⋮ Global well-posedness of the \(n\)-dimensional hyper-dissipative Boussinesq system without thermal diffusivity ⋮ Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation

Cites Work

• Concerning the \(W^{k,p}\)-inviscid limit for 3-D flows under a slip boundary condition
• On the blow-up of solutions of the 3-D Euler equations in a bounded domain
• Remarks on the Euler equation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions

This page was built for publication: Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition