A moderate deviation principle for 2-D stochastic Navier-Stokes equations
TLDR
In this paper, the authors prove a central limit theorem and establish a moderate deviation principle for two-dimensional stochastic Navier-Stokes equations with multiplicative noise, and show that the weak convergence method plays an important role.Citations
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A moderate deviation principle for 2-D stochastic Navier–Stokes equations driven by multiplicative Lévy noises ☆
TL;DR: In this article, the authors established a moderate deviation principle for two-dimensional stochastic Navier-Stokes equations driven by multiplicative Levy noises and showed that the weak convergence method introduced by Budhiraja, Dupuis and Ganguly in [3] plays a key role.
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A Moderate Deviation Principle for 2-D Stochastic Navier-Stokes Equations Driven by Multiplicative L\'evy Noises
TL;DR: In this article, a moderate deviation principle for two-dimensional stochastic Navier-Stokes equations driven by multiplicative $L\acute{e}vy$ noises is established.
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Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises
TL;DR: In this paper, the authors considered the extended stochastic Navier-Stokes equations with Caputo derivative driven by fractional Brownian motion and derived the pathwise spatial and temporal regularity of the generalized Ornstein-Uhlenbeck process.
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Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
TL;DR: In this paper, the authors considered the extended stochastic Navier-Stokes equations with Caputo derivative driven by fractional Brownian motion and derived the pathwise spatial and temporal regularity of the generalized Ornstein-Uhlenbeck process.
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Large Deviations for Stochastic Models of Two-Dimensional Second Grade Fluids
Jianliang Zhai,Tusheng Zhang +1 more
TL;DR: In this article, the authors established a large deviation principle for stochastic models of incompressible second grade fluids and used the weak convergence method introduced by Budhiraja and Dupuis (Probab Math Statist 20:39-61, 2000).
References
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Book
Large Deviations Techniques and Applications
Amir Dembo,Ofer Zeitouni +1 more
TL;DR: The LDP for Abstract Empirical Measures and applications-The Finite Dimensional Case and Applications of Empirically Measures LDP are presented.
Book
Navier-Stokes Equations: Theory and Numerical Analysis
TL;DR: This paper presents thediscretization of the Navier-Stokes Equations: General Stability and Convergence Theorems, and describes the development of the Curl Operator and its application to the Steady-State Naviers' Equations.
Book
Stochastic Equations in Infinite Dimensions
Giuseppe Da Prato,Jerzy Zabczyk +1 more
TL;DR: In this paper, the existence and uniqueness of nonlinear equations with additive and multiplicative noise was investigated. But the authors focused on the uniqueness of solutions and not on the properties of solutions.
Book
Navier-Stokes Equations and Nonlinear Functional Analysis
TL;DR: The second edition of the Navier-Stokes Equations as mentioned in this paper provides an overview of its application in a variety of problems, including the existence, uniqueness, and regularity of solutions.
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