Entropy Methods for Diffusive Partial Differential Equations
Published on 17. June 2016
VIII, 139 pages
978-3-319-34219-1 (ISBN)
Description
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.
Reviews / Votes
"This book is devoted to presenting a brief summary and a collection of some entropy methods developed in recent decades by many researchers in order to understand the qualitative properties of solutions to diffusive partial differential equations and Markov processes. . In particular, the book may be useful for advanced Master's and Ph.D. students or for special courses or seminars." (Gaetano Siciliano, Mathematical Reviews, May, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 139 p. 1 illus. in color.
File size
2,01 MB
ISBN-13
978-3-319-34219-1 (9783319342191)
DOI
10.1007/978-3-319-34219-1
Schweitzer Classification
Other editions
Additional editions
Book
07/2016
Springer
€80.24
Shipment within 10-15 days
Content
1 Introduction.- 2 Fokker-Planck equations.- 3 Systematic Integration by Parts.- 4 Cross-Diffusion Systems.- 5 Towards Discrete Entropy Methods.- 6 Appendix A: Technical Tools.
