In this paper, we establish the large deviation principle for 3D stochastic primitive equations with small perturbation multiplicative noise. The proof is mainly based on the weak convergence approach.
In this paper, we established the Freidlin-Wentzell type large deviation principles for first-order scalar conservation laws perturbed by small multiplicative noise. Due to the lack of the viscous terms in the stochastic equations, the kinetic solution to the Cauchy problem for these first-order conservation laws is studied. Then, based on the well-posedness of the kinetic solutions, we show that the large deviations holds by utilising the weak convergence approach. * Corresponding author MSC 2010 subject classifications: Primary 60F10; secondary 60H15.
In this paper, we establish a small-time large deviation principle for the strong solution of three-dimensional stochastic primitive equations driven by multiplicative noise, which involves not only the study of small noise but also the challenging nonlinear drift terms.
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