| 书目名称 | Mathematical Methods for Hydrodynamic Limits | | 编辑 | Anna Masi,Errico Presutti | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physics,biology, population dynamics, economics, ...The purpose of the book is to make theseand othermathematical methods accessible to readers with a limitedbackground in probability and physics by examining in detailafew models where the techniques emerge clearly, whileextra difficulties arekept to a minimum.Lanford‘s method and its extension to the hierarchyofequations for the truncated correlation functions, thev-functions,are presented and applied to prove the validityof macroscopic equations forstochastic particle systemswhich are perturbations of the independent andof thesymmetric simple exclusion processes. Entropy inequalitiesare discussed in the frame of the Guo-Papanicolaou-Varadhantechnique and of theKipnis-Olla-Varadhan super exponentialestimates, with reference to zero-range models. Discretevelocity Boltzmann equations, reactiondiffusionequations and non linear parabolic equations areconsidered,as limit | | 出版日期 | Book 1991 | | 关键词 | Continuum limits; Interacting particle systems; Non linear Partial Differential Equations; Propagation | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0086457 | | isbn_softcover | 978-3-540-55004-4 | | isbn_ebook | 978-3-540-46636-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1991 |
The information of publication is updating
|
|
发表于 2025-3-21 20:02:01
