Abstract
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.
Original language | English (US) |
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Pages (from-to) | 529-551 |
Number of pages | 23 |
Journal | Communications In Mathematical Physics |
Volume | 275 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2007 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics