Anomalous dissipation in a stochastic inviscid dyadic model

DOI10.1214/11-AAP768zbMath1259.60064arXiv1007.1004OpenAlexW3105425032MaRDI QIDQ657706

David Barbato, Franco Flandoli, Francesco Morandin

Publication date: 10 January 2012

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1004

zbMATH Keywords

blow-upmultiplicative noisefluid dynamicsSPDEsshell modelsanomalous dissipationdyadic modelGirsanov's transform

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (12)

Positive and non-positive solutions for an inviscid dyadic model: well-posedness and regularity ⋮ Structure function and fractal dissipation for an intermittent inviscid dyadic model ⋮ Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models ⋮ Dyadic models for fluid equations: a survey ⋮ On a stochastic Leray-\(\alpha\) model of Euler equations ⋮ Conservative interacting particles system with anomalous rate of ergodicity ⋮ Uniqueness and blow-up for a stochastic viscous dyadic model ⋮ On the convergence of stochastic transport equations to a deterministic parabolic one ⋮ Linear stochastic dyadic model ⋮ Stochastic Navier-Stokes equations and related models ⋮ Dyadic models for ideal MHD ⋮ Remarks on Stochastic Navier-Stokes Equations

Cites Work

• Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation
• Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry
• A theorem of uniqueness for an inviscid dyadic model
• Continuous-time Markov chains. An applications-oriented approach
• Simulation of cascade processes in turbulent flows
• An inviscid dyadic model of turbulence: the global attractor
• Transfer of stochastic energy towards high modes and its application to diffeomorphism flows on tori
• Nonergodicity of Euler fluid dynamics on tori versus positivity of the Arnold-Ricci tensor
• Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators
• Simple systems with anomalous dissipation and energy cascade
• Global \(L_2\)-solutions of stochastic Navier-Stokes equations
• Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
• Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture
• Blow-up in finite time for the dyadic model of the Navier-Stokes equations
• Uniqueness for a stochastic inviscid dyadic model
• Stochastic Navier--Stokes Equations for Turbulent Flows
• Blowup in a three‐dimensional vector model for the Euler equations
• Finite time blow-up for a dyadic model of the Euler equations
• Passive scalar equation in a turbulent incompressible Gaussian velocity field
• On some dyadic models of the Euler equations
• Stochastic Equations in Infinite Dimensions
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