Reducing slip boundary value problems from the half to the whole space. Applications to inviscid limits and to non-Newtonian fluids
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Publication:626160
DOI10.1016/j.jmaa.2010.10.045zbMath1223.35254OpenAlexW2095380172MaRDI QIDQ626160
Hugo Beirão da Veiga, Carlo Romano Grisanti, Francesca Crispo
Publication date: 22 February 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.045
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)
Related Items (11)
Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space ⋮ The inviscid limit of the incompressible anisotropic Navier-Stokes equations with the non-slip boundary condition ⋮ On the extension to slip boundary conditions of a Bae and Choe regularity criterion for the Navier-Stokes equations. the half-space case ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions ⋮ Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition ⋮ The 3D inviscid limit result under slip boundary conditions. A negative answer ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ A survey on some vanishing viscosity limit results ⋮ On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains ⋮ On \(L^3\)-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions ⋮ Navier-Stokes equations under slip boundary conditions: lower bounds to the minimal amplitude of possible time-discontinuities of solutions with two components in \(L^{\infty} (L^3)\)
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