Couverture Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Röckner, MichaelBarbu, Viorel

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Description

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.

Détails

ISBN/GTIN978-3-031-61733-1

Type de produitLivre

ReliureLivre de poche

ÉditeurSpringer

Date de parution18.06.2024

Edition2024

SérieLecture Notes in Mathematics

No. de série2353

Pages224 pages

LangueAnglais

DimensionsLargeur 155 mm, Hauteur 235 mm, Épaisseur 13 mm

Poids347 g

Groupe de produitsSciences naturelles

CatégoriePhysique

Plus de détails

Série

An Introduction to KMS Weights

Twisted Morse Complexes

Braids, Conformal Module, Entropy, and Gromov's Oka Principle

Principal Symbol Calculus on Contact Manifolds

Bayesian Nonparametric Statistics

Recent Stability Issues for Linear Dynamical Systems

Helix Structures in Quantum Cohomology of Fano Varieties

Functional Analytic Methods for Heat Green Operators

Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Normal 2-Coverings of the Finite Simple Groups and their Generalizations

Asymptotic Expansions and Summability

Categorical Donaldson-Thomas Theory for Local Surfaces

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Geometric and Analytic Aspects of Functional Variational Principles

Modern Aspects of Dynamical Systems

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Auteur

Röckner, MichaelBarbu, Viorel

Viorel Barbu is professor of Mathematics at Alexandru Ioan Cuza University (Romania) and also member of Romanian Academy and of European Academy of Science. He has published several monographs and textbooks on nonlinear analysis, infinite dimensional optimization, partial differential equations and Navier-Stokes equations with Springer, Academic Press, Kluwer, Birkhauser.Michael Röckner is professor of Mathematics at Bielefeld University (Germany) and a distinguished visiting professor at CAS. He is a member of the Academia Europaea, the Academy of Sciences and Literature, Mainz, and a foreign honorary member of the Romanian Academy. His main areas of research are stochastic analysis, in particular, stochastic partial differential equations, the theory of Dirichlet forms and potential theory. He is a coauthor of several monographs in these fields.