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Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

E-BookPDF1 - PDF WatermarkE-Book
214 Seiten
Englisch
Springer Nature Switzerlanderschienen am17.06.20242024
This book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory of probabilistically weak solutions to McKean-Vlasov stochastic differential equations and the corresponding nonlinear Markov processes. These are widely acknowledged as essential tools for describing the dynamics of complex systems in disordered media, as well as mean-field models. The resulting stochastic processes elucidate the microscopic dynamics underlying the nonlinear Fokker-Planck equations, whereas the solutions of the latter describe the evolving macroscopic probability distributions.

The intended audience for this book primarily comprises specialists in mathematical physics, probability theory and PDEs. It can also be utilized as a one-semester graduate course for mathematicians. Prerequisites for the readers include a solid foundation in functional analysis and probability theory.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR69,54

Produkt

KlappentextThis book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory of probabilistically weak solutions to McKean-Vlasov stochastic differential equations and the corresponding nonlinear Markov processes. These are widely acknowledged as essential tools for describing the dynamics of complex systems in disordered media, as well as mean-field models. The resulting stochastic processes elucidate the microscopic dynamics underlying the nonlinear Fokker-Planck equations, whereas the solutions of the latter describe the evolving macroscopic probability distributions.

The intended audience for this book primarily comprises specialists in mathematical physics, probability theory and PDEs. It can also be utilized as a one-semester graduate course for mathematicians. Prerequisites for the readers include a solid foundation in functional analysis and probability theory.
Details
Weitere ISBN/GTIN9783031617348
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2024
Erscheinungsdatum17.06.2024
Auflage2024
ReiheLecture Notes in Mathematics
Reihen-Nr.2353
Seiten214 Seiten
SpracheEnglisch
Dateigrösse6414 Kbytes
IllustrationenIX, 214 p.
Artikel-Nr.16010771
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
- Introduction.- Existence of nonlinear Fokker-Planck flows.- Time dependent Fokker-Planck equations.- Convergence to equilibrium of nonlinear Fokker-Planck flows.- Markov processes associated with nonlinear Fokker-Planck equations.- Appendix.mehr

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