Moderate deviations for stochastic models of two-dimensional second grade fluids

DOI10.1142/S0219493718500260zbMath1396.60075arXiv1607.08669OpenAlexW2618562835MaRDI QIDQ4642387

Jianliang Zhai, Wuting Zheng, Tu-Sheng Zhang

Publication date: 23 May 2018

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08669

zbMATH Keywords

stochastic partial differential equationscentral limit theoremnon-Newtonian fluidmoderate deviationssecond grade fluids

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (7)

Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise ⋮ Well-posedness of stochastic third grade fluid equation ⋮ A large deviation principle for fluids of third grade ⋮ Central limit theorems and moderate deviations for stochastic reaction-diffusion lattice systems ⋮ Large deviation for two-time-scale stochastic burgers equation ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise ⋮ Moderate deviations for stochastic models of two-dimensional second-grade fluids driven by Lévy noise

Cites Work

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• A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises
• Strong solution for a stochastic model of two-dimensional second grade fluids: existence, uniqueness and asymptotic behavior
• Delta method in large deviations and moderate deviations for estimators
• Large deviations for stochastic flows of diffeomorphisms
• Large deviation properties of weakly interacting processes via weak convergence methods
• Moderate deviation principles for stochastic differential equations with jumps
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Large deviations for infinite dimensional stochastic dynamical systems
• Large deviations for stochastic tamed 3D Navier-Stokes equations
• Large deviations for stochastic evolution equations with small multiplicative noise
• Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids
• On moderate deviation theory in estimation
• Anomalous features in the model of second order fluids
• Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
• Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables)
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
• Weak and classical solutions of a family of second grade fluids
• Fluids of differential type: Critical review and thermodynamic analysis
• Moderate deviations of minimum contrast estimators under contamination
• Global existence and uniqueness of solutions to the equations of second-grade fluids
• Large deviations for a Burgers'-type SPDE
• On the small time asymptotics of diffusion processes on Hilbert spaces.
• Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Moderate deviations of dependent random variables related to CLT
• Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type
• The sharp lower bound of asymptotic efficiency of estimators in the zone of moderate deviation probabilities
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Uniform large deviations for parabolic SPDEs and applications
• Large deviations for stochastic models of two-dimensional second grade fluids
• A moderate deviation principle for 2-D stochastic Navier-Stokes equations
• Weak solutions of a stochastic model for two-dimensional second grade fluids
• Examples of moderate deviation principle for diffusion processes
• Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise
• Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier–Stokes Equations with Free Boundary
• Moderate Deviations and Associated Laplace Approximations for Sums of Independent Random Vectors
• On second grade fluids with vanishing viscosity
• The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
• On general boundary problems for systems which are elliptic in the sense of A. Douglis and L. Nirenberg. I
• Stochastic Navier-Stokes equations
• Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations

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