Inviscid limit for damped and driven incompressible Navier-Stokes equations in R
نویسنده
چکیده
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R. We prove that the rate of dissipation of enstrophy vanishes. Stationary statistical solutions of the damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of the damped and driven Euler equations. These solutions obey the enstrophy balance. Mathematics Subject Classification 35Q35, 76D06. key words Inviscid limit, statistical solutions, anomalous dissipation.
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