@article { ISI:000426146600005,
	title = {A large deviations principle for stochastic flows of viscous fluids},
	journal = {JOURNAL OF DIFFERENTIAL EQUATIONS},
	volume = {264},
	number = {{8}},
	year = {2018},
	note = {<p>n/a</p>
},
	month = {{APR 15}},
	pages = {5070-5108},
	publisher = {{ACADEMIC PRESS INC ELSEVIER SCIENCE}},
	type = {{Article}},
	address = {{525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}},
	abstract = {<p>{We study the well-posedness of a stochastic differential equation on the two dimensional torus T-2, driven by an infinite dimensional Wiener process with drift in the Sobolev space L-2 (0, T; H-1 (T-2)). The solution corresponds to a stochastic Lagrangian flow in the sense of DiPerna Lions. By taking into account that the motion of a viscous incompressible fluid on the torus can be described through a suitable stochastic differential equation of the previous type, we study the inviscid limit. By establishing a large deviations principle, we show that, as the viscosity goes to zero, the Lagrangian stochastic Navier-Stokesflow approaches the Euler deterministic Lagrangian flow with an exponential rate function. (c) 2018 Elsevier Inc. All rights reserved.}</p>
},
	keywords = {Euler equations, Lagrangian flows, Large deviations principle}, Stochastic differential equations, Stochastic flows, {Navier-Stokes equations},
	issn = {{0022-0396}},
	doi = {{10.1016/j.jde.2017.12.031}},
	author = {Cipriano, Fernanda and Costa, Tiago}
}
