- 04-241 B. Goldys, B. Maslowski
- EXPONENTIAL ERGODICITY FOR STOCHASTIC BURGERS AND 2D NAVIER-STOKES EQUATIONS
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Aug 2, 04
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Abstract. It is shown that transition measures of the stochastic
Navier-Stokes equation in dimension 2 converge exponentially
fast to the corresponding invariant measures in the
distance of total variation. As a corollary we
obtain the existence of spectral gap for a related semigroup obtained by a sort of ground state trasformation. Analogous results are proved for the stochastic Burgers equation.
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