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Spontaneously stochastic solutions in one-dimensional inviscid systems

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Publication:2816520
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DOI10.1088/0951-7715/29/8/2238zbMath1383.35195arXiv1512.04465OpenAlexW2217908986MaRDI QIDQ2816520

Alexei A. Mailybaev

Publication date: 23 August 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04465


zbMATH Keywords

chaosturbulenceblowuphydrodynamic modelprobability measureinviscid solutionsspontaneous stochasticity


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical turbulence modeling (76F55) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Dynamical systems approach to turbulence (76F20) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07)


Related Items (6)

Hidden spatiotemporal symmetries and intermittency in turbulence ⋮ Spontaneously stochastic Arnold's cat ⋮ Spontaneous stochasticity and renormalization group in discrete multi-scale dynamics ⋮ Solvable intermittent shell model of turbulence ⋮ Spontaneous Stochasticity of Velocity in Turbulence Models ⋮ ‘Life after death’ in ordinary differential equations with a non-Lipschitz singularity




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