Uniqueness for a stochastic inviscid dyadic model

DOI10.1090/S0002-9939-10-10318-9zbMath1196.60112arXiv0910.4974OpenAlexW2049516727MaRDI QIDQ3574836

David Barbato, Francesco Morandin, Franco Flandoli

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4974

zbMATH Keywords

uniquenessinitial conditionsdyadic model of turbulence

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (18)

Stochastic regularization effects of semi-martingales on random functions ⋮ Positive and non-positive solutions for an inviscid dyadic model: well-posedness and regularity ⋮ Ergodicity of the stochastic fractional reaction-diffusion equation ⋮ 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 ⋮ Anomalous dissipation in a stochastic inviscid dyadic model ⋮ The effect of a noise on the stochastic modified Camassa–Holm equation ⋮ Noise prevents infinite stretching of the passive field in a stochastic vector advection equation ⋮ A theorem of uniqueness for an inviscid dyadic model ⋮ Linear stochastic dyadic model ⋮ Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Stochastic Navier-Stokes equations and related models ⋮ Dyadic models for ideal MHD ⋮ Remarks on Stochastic Navier-Stokes Equations

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