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SpringerBriefs in Mathematics

Entropy Methods for Diffusive Partial Differential Equations

Authors: Juengel, Ansgar

  • Provides an easy-to-read overview of entropy methods for diffusive equations
  • The first book to summarize entropy methods for cross-diffusion systems
  • The majority of the content should be accessible for advanced undergraduate and graduate students
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-34219-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-34218-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (5 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-34219-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-34218-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Entropy Methods for Diffusive Partial Differential Equations
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-34219-1
DOI
10.1007/978-3-319-34219-1
Softcover ISBN
978-3-319-34218-4
Series ISSN
2191-8198
Edition Number
1
Number of Pages
VIII, 139
Number of Illustrations and Tables
1 illustrations in colour
Topics