In this note we consider the inviscid limit for the 3D Boussinesq equations without diffusion, under slip boundary conditions of Navier’s type. We first study more closely the Navier–Stokes equations, to better understand the problem. The role of the initial data is also emphasized in connection with the vanishing viscosity limit.
An elementary approach to the inviscid limits for the 3D Navier–Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations
BERSELLI, LUIGI CARLO;
2014-01-01
Abstract
In this note we consider the inviscid limit for the 3D Boussinesq equations without diffusion, under slip boundary conditions of Navier’s type. We first study more closely the Navier–Stokes equations, to better understand the problem. The role of the initial data is also emphasized in connection with the vanishing viscosity limit.File in questo prodotto:
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NoDEA2014.pdf
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