The Einstein−Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker−Planck−Kolmogorov equation

Rezaev R.O., Trifonov A.Y., Shapovalov A.V.
 pdf (514K)  / List of references

Semiclassical approximation formalism is developed for the multidimensional Fokker–Planck–Kolmogorov equation with non-local and nonlinear drift vector with respect to a small diffusion coefficient D, D→0, in the class of trajectory concentrated functions. The Einstein−Ehrenfest system of (0, M)-type is obtained. A family of semiclassical solutions localized around a point driven by the Einstein−Ehrenfest system accurate to O(D(M+1)/2) is found.

Keywords: nonlinear Fokker−Planck−Kolmogorov equation, semiclassical asymptotics, WKB-Maslov method, Einstein−Ehrenfest system
Citation in English: Rezaev R.O., Trifonov A.Y., Shapovalov A.V. The Einstein−Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker−Planck−Kolmogorov equation // Computer Research and Modeling, 2010, vol. 2, no. 2, pp. 151-160
Citation in English: Rezaev R.O., Trifonov A.Y., Shapovalov A.V. The Einstein−Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker−Planck−Kolmogorov equation // Computer Research and Modeling, 2010, vol. 2, no. 2, pp. 151-160
DOI: 10.20537/2076-7633-2010-2-2-151-160
URL: http://crm-en.ics.org.ru/journal/article/1696/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
Views (last year): 2.

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the List of Russian peer-reviewed journals publishing the main research results of PhD and doctoral dissertations.

International Interdisciplinary Conference "Mathematics. Computing. Education"

The journal is included in the RSCI

Indexed in Scopus

Copyright © 2009–2021 Institute of Computer Science