English

Fractional kinetic hierarchies and intermittency

Mathematical Physics 2016-10-11 v2 math.MP

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.

Keywords

Cite

@article{arxiv.1604.03807,
  title  = {Fractional kinetic hierarchies and intermittency},
  author = {Anatoly N. Kochubei and Yuri Kondratiev},
  journal= {arXiv preprint arXiv:1604.03807},
  year   = {2016}
}

Comments

To appear in "Kinetic and Related Models"

R2 v1 2026-06-22T13:31:28.239Z