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On the inviscid limit of the Navier-Stokes equations
On the inviscid limit the Navier-Stokes equations
2014/4/3
We consider the convergence in the L 2norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if ...
Inviscid limit for axisymmetric stratified Navier-Stokes system
Inviscid limit axisymmetric stratified Navier-Stokes system Analysis of PDEs
2012/6/21
This paper is devoted to the study of the Cauchy problem for the stratified Navier-Stokes system in space dimension three. In the first part of the paper, we prove the existence of a unique global sol...
On the inviscid limit of the system "viscous incompressible fluid + rigid body" with the Navier conditions
inviscid limit of the system viscous incompressible fluid Navier conditions Analysis of PDEs
2012/6/6
In this paper we consider the inviscid limit for the system "viscous incompressible fluid + rigid body" in $\R^{3}$ when some Navier slip conditions are prescribed on the body's boundary. We prove the...
Inviscid limit for damped and driven incompressible Navier-Stokes equations in R 2
Inviscid limit statistical solutions anomalous dissipation
2014/4/4
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R2. We prove that the rate of dissipation of enstrophy vanishes. Stationary stat...