| 书目名称 | Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts |
| 编辑 | Viorel Barbu,Michael Röckner |
| 视频video | |
| 概述 | Can be used as a one semester graduate course for mathematicians.Devoted to existence and uniqueness of weak solutions to nonlinear Fokker-Planck equations.Presents recent research material on nonline |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2024 |
| 关键词 | Stochastic; Fokker-Planck; Diffusion Process; Nonlinear Semigroup; Differential Equation; Distribution |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-61734-8 |
| isbn_softcover | 978-3-031-61733-1 |
| isbn_ebook | 978-3-031-61734-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:21:20
