On the small time asymptotics of 3D stochastic primitive equations

Abstract

In this paper, we establish a small time large deviation principle for the strong solution of 3D stochastic primitive equations driven by multiplicative noise. Both the small noise and the small, but highly nonlinear, unbounded nonlinear terms should be taken into consideration.

References in corpus (5)

• Local Martingale and Pathwise Solutions for an Abstract Fluids Model
• Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise
• Large deviation principles for the stochastic quasi-geostrophic equation
• Markov Selection and $W$-strong Feller for 3D Stochastic Primitive Equations
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Cited by in corpus (2)

• Small Time Asymptotics for SPDEs with Locally Monotone Coefficients
• Global well-posedness and small time asymptotics of stochastic Ladyzhenskaya-Smagorinsky equations with damping on unbounded domains