Stationary solutions of SPDEs with locally monotone coefficients satisfy the Freidlin-Wentzell LDP, from which the LDP for invariant measures follows by contraction, covering reaction-diffusion, Burgers, Navier-Stokes, and MHD equations.
A Variational Representation for Certain Functionals of Brownian Motion
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Large deviation principles for the stationary solutions and invariant measures of a class of SPDE with locally monotone coefficients
Stationary solutions of SPDEs with locally monotone coefficients satisfy the Freidlin-Wentzell LDP, from which the LDP for invariant measures follows by contraction, covering reaction-diffusion, Burgers, Navier-Stokes, and MHD equations.