| Abstract: |
| We study the two-dimensional Euler equations, damped by a linear term and
driven by an additive noise.
The existence of weak solutions and their pathwise uniqueness
is known for solutions that have bounded vorticity. The space of bounded vorticity endowed with the strong topology is not separable and the classical theory of Markov processes can`t be applied.
Using the weak star topology, we prove the Markov property and then the existence of an
invariant measure by means of a Krylov-Bogoliubov`s type method. |
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