Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations
type: Item
instance of: scholarly article
title: Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations
zbMATH Open document ID: 1414.35227
DOI: 10.1134/S1064562418060169
published in: Doklady Mathematics
publication date: 2019-01-15T00:00:00Z
review text: This work reports investigation of the convergence of the non-linear Fokker-Plank-Kolmogorov equation, where the non-linearity is included into the drift term, to its stationary solution defined as a probability measure. The key assumption of the considered problem is that the non-linear term is a small addition to the coefficient-dependent linear one. It is realized by introducing a small multiplicative factor $\varepsilon$. Thus, the convergence of the Cauchy problem to the stationary solution is defined for sufficiently small $\varepsilon$.
Mathematics Subject Classification ID: 35Q84
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 7002193
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: non-linear drift
zbMATH Keywords: perturbation theory
author: Vladimir I. Bogachev
author: Michael Röckner
author: S. V. Shaposhnikov
reviewed by: Eugene Postnikov
MaRDI profile type: Publication
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full work available at URL: s1064562418060169
OpenAlex ID: W2899705728
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description: scientific article; zbMATH DE number 7002193