On the exact solution of Fokker-Planck equation used by Friedrich and Peinke for description of a turbulent cascade

난류 캐스케이드 기술에 있어서 Friedrich와 Peinke가 사용한 Fokker-Planck 방정식의 완전해에 관하여

  • 최연택 (경북대 대학원 산업응용수학과) ;
  • 손창현 (경북대 공과대 기계공학부) ;
  • 김호일 (경북대 사범대 수학교육과) ;
  • 조상규 (경북대 자연대 물리학과)
  • Published : 2001.06.27

Abstract

Some multidimentional generalizations of the Fokker-Planck Equation used by Friedrich and Peinke for description of a turbulent cascade was solved by A.A.Donkov, A.D.Donkov, and G.I.Grancharova. The solutions are two types, isotropic and anisotropic diffusion case. We introduce their methods to solve the Equation and solutions. Furthermore we get the more generalized exact solution as combination of two cases and plot to compare those to experimental results for the isotropic case.

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