Symmetry analysis and invariant solutions of the multipoint infinite systems describing turbulence

[摘要] The present work concerns multipoint description of turbulence in terms of the probability density functions (pdf's) and the characteristic Hopf functional. Lie symmetries of infinite systems of equations for the pdf's and the Hopf functional equation are discussed. Based on symmetries, invariant solutions for turbulence statistics are calculated.

[发布机构] Institute of Geophysics, Faculty of Physics, University of Warsaw, Pasteura 7, Warsaw; 02-093, Poland^1;Department of Mechanical Engineering, TU Darmstadt, Otto-Berndt Str. 2, Darmstadt; 64287, Germany^2

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Functional equation;Infinite system;Invariant solutions;Lie symmetries;Symmetry analysis;Turbulence statistics