Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise
type: Item
instance of: scholarly article
title: Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise
zbMATH Open document ID: 1420.60086
author: Paul André Razafimandimby
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2019-01-14T00:00:00Z
full work available at URL: http://hdl.handle.net/2263/64708
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 7001292
zbMATH Keywords: grade-two fluids
zbMATH Keywords: Lagrangian averaged Euler equations
zbMATH Keywords: inviscid limit
zbMATH Keywords: moderate deviations principle
zbMATH Keywords: large deviations principle
zbMATH Keywords: weak convergence approach to LDP
MaRDI profile type: Publication
OpenAlex ID: W2794275921
cites work: Weak and classical solutions of equations of motion for second grade fluids.
cites work: Large deviation principle and inviscid shell models
cites work: Large deviations and the zero viscosity limit for 2D stochastic Navier--Stokes equations with free boundary
cites work: Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation
cites work: A variational representation for positive functionals of infinite dimensional Brownian motion
cites work: Large deviations for infinite dimensional stochastic dynamical systems
cites work: Incompressible Euler as a limit of complex fluid models with Navier boundary conditions
cites work: The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
cites work: On second grade fluids with vanishing viscosity
cites work: An integrable shallow water equation with peaked solitons
cites work: Well-posedness of stochastic second grade fluids
cites work: Stochastic 2D hydrodynamical type systems: well posedness and large deviations
cites work: Q3698475
cites work: Q3687906
cites work: Weak and classical solutions of a family of second grade fluids
cites work: Q4040820
cites work: Stochastic Equations in Infinite Dimensions
cites work: Ordinary differential equations, transport theory and Sobolev spaces
cites work: Large deviations for the Boussinesq equations under random influences
cites work: Real Analysis and Probability
cites work: Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
cites work: Fluids of differential type: Critical review and thermodynamic analysis
cites work: On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations.
cites work: Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
cites work: Anomalous features in the model of ''second order fluids''
cites work: Numerical Methods for Grade-Two Fluid Models
cites work: On a time-dependent grade-two fluid model in two dimensions
cites work: Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
cites work: Averaging principle of SDE with small diffusion: Moderate deviations
cites work: Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: On Global Well‐Posedness of the Lagrangian Averaged Euler Equations
cites work: Global existence and uniqueness of solutions to the equations of second-grade fluids
cites work: Moderate deviations for randomly perturbed dynamical systems
cites work: The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
cites work: The large deviation principle for a stochastic Korteweg-de Vries equation with additive noise
cites work: On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations
cites work: Large deviation principles for the stochastic quasi-geostrophic equations
cites work: Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions
cites work: Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers
cites work: The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
cites work: Semimartingales: A course on stochastic processes
cites work: Attractors for non-compact semigroups via energy equations
cites work: Exponential mixing for stochastic PDEs: the non-additive case
cites work: Dynamics of Second Grade Fluids: The Lagrangian Approach
cites work: Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations
cites work: A concise course on stochastic partial differential equations
cites work: Weak solutions of a stochastic model for two-dimensional second grade fluids
cites work: Convergence of a sequence of solutions of the stochastic two-dimensional equations of second grade fluids
cites work: Strong solution for a stochastic model of two-dimensional second grade fluids: existence, uniqueness and asymptotic behavior
cites work: Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity
cites work: The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids
cites work: Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
cites work: Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q3861771
cites work: Q4827464
cites work: Exponential mixing for stochastic model of two-dimensional second grade fluids
cites work: A moderate deviation principle for 2-D stochastic Navier-Stokes equations
cites work: Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise

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cites work: On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion

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cites work: Large deviations for stochastic models of two-dimensional second grade fluids

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Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise (Wikidata QID)
Wikidata QID: Q130121154

Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise (DOI)
DOI: 10.1007/S10231-018-0737-9