Invariant Measures for Stochastic Damped 2D Euler Equations
نویسندگان
چکیده
منابع مشابه
Invariant measures of the 2D Euler and Vlasov equations
We discuss invariant measures of partial differential equations such as the 2D Euler or Vlasov equations. For the 2D Euler equations, starting from the Liouville theorem, valid for N -dimensional approximations of the dynamics, we define the microcanonical measure as a limit measure where N goes to infinity. When only the energy and enstrophy invariants are taken into account, we give an explic...
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We consider the inviscid limit of the stochastic damped 2D NavierStokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic damped Euler equation and that the rate of dissipation of enstrophy converges to zero. In particular, this limit obeys an enstrophy balance. The...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2020
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-020-03714-3