Fractional kinetic hierarchies and intermittency

Anatoly N. Kochubei; Yuri Kondratiev

doi:10.3934/krm.2017029

Article Contents

2017, Volume 10, Issue 3: 725-740. Doi: 10.3934/krm.2017029

This issue Previous Article Emergent dynamics in the interactions of Cucker-Smale ensembles Next Article Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces

Fractional kinetic hierarchies and intermittency

Anatoly N. Kochubei^1, and
Yuri Kondratiev^2,

1.
Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska 3, Kyiv, 01004, Ukraine
2.
Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany

Received: June 2016

Revised: October 2016

Published: September 2017

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Abstract

We consider general convolutional derivatives and related fractional statistical dynamics of continuous interacting particle systems. We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. Conditions for the intermittency property of fractional kinetic dynamics are obtained.

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Mathematics Subject Classification: Primary: 82C21; Secondary: 34A08.

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