東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Nonlinear Fokker-Planck flows and their probabilistic counterparts

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear Fokker-Planck flows and their probabilistic counterparts/ by Viorel Barbu, Michael Röckner.
Author:	Barbu, Viorel.
other author:	Röckner, Michael.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	ix, 214 p. :ill., digital ;24 cm.
[NT 15003449]:	- 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.
Contained By:	Springer Nature eBook
Subject:	Fokker-Planck equation. -
Online resource:	https://doi.org/10.1007/978-3-031-61734-8
ISBN:	9783031617348

Nonlinear Fokker-Planck flows and their probabilistic counterparts
Barbu, Viorel.

Nonlinear Fokker-Planck flows and their probabilistic counterparts[electronic resource] /by Viorel Barbu, Michael Röckner. - Cham :Springer Nature Switzerland :2024. - ix, 214 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23531617-9692 ;. - Lecture notes in mathematics ;v. 2353..

- 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.

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.

ISBN: 9783031617348

Standard No.: 10.1007/978-3-031-61734-8doiSubjects--Topical Terms:

739438
Fokker-Planck equation.

LC Class. No.: QA274.23

Dewey Class. No.: 519.22

Nonlinear Fokker-Planck flows and their probabilistic counterparts
LDR:02325nmm a2200337 a 4500 001 2372582
003 DE-He213
005 20240618125826.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031617348 $q (electronic bk.)
020 $a 9783031617331 $q (paper)
024 7 $a 10.1007/978-3-031-61734-8 $2 doi
035 $a 978-3-031-61734-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.23
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 519.22 $2 23
090 $a QA274.23 $b .B241 2024
100 1 $a Barbu, Viorel. $3 664327
245 1 0 $a Nonlinear Fokker-Planck flows and their probabilistic counterparts $h [electronic resource] / $c by Viorel Barbu, Michael Röckner.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a ix, 214 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2353
505 0 $a - 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.
520 $a 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.
650 0 $a Fokker-Planck equation. $3 739438
650 0 $a Differential equations, Nonlinear. $3 604084
650 1 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Stochastic Analysis. $3 3599427
700 1 $a Röckner, Michael. $3 3719472
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2353. $3 3719473
856 4 0 $u https://doi.org/10.1007/978-3-031-61734-8
950 $a Mathematics and Statistics (SpringerNature-11649)