Large deviations and entropy production in viscous fluid flows
We study the motion of a particle in a random time-dependent vector field defined by the 2D
Navier–Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove
that the empirical measures of the trajectories of the pair (velocity field, particle) satisfy the
LDP with a good rate function. Moreover, we show that the law of a unique stationary
solution restricted to the particle component possesses a positive smooth density with
respect to the Lebesgue measure in any finite time. This allows one to define a natural …
Navier–Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove
that the empirical measures of the trajectories of the pair (velocity field, particle) satisfy the
LDP with a good rate function. Moreover, we show that the law of a unique stationary
solution restricted to the particle component possesses a positive smooth density with
respect to the Lebesgue measure in any finite time. This allows one to define a natural …
以上显示的是最相近的搜索结果。 查看全部搜索结果