An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations

DOI10.1007/s00030-013-0242-1zbMath1304.35480arXiv1207.6882OpenAlexW1996309486MaRDI QIDQ464411

Stefano Spirito, Luigi C. Berselli

Publication date: 17 October 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6882

zbMATH Keywords

3D Navier-Stokes equations3D Boussinesq equationsNavier type slip boundary conditionsvanishing viscosity limits

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (8)

Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition ⋮ On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method ⋮ Vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition ⋮ The continuous dependence of the viscous Boussinesq equations uniformly with respect to the viscosity ⋮ Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization ⋮ On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier-Stokes ⋮ On the Boussinesq system: local well-posedness of the strong solution and inviscid limits ⋮ Convergence of second-order in time numerical discretizations for the evolution Navier-Stokes equations

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