Skip to main content
SpringerLink
Log in
Book cover

Entropy Methods for Diffusive Partial Differential Equations

  • Book
  • © 2016

Overview

Authors:
  1. Ansgar Jüngel

    1. Analysis and Scientific Computing, Vienna University of Technology, Wien, Austria

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99 USD 59.99
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99 USD 79.99
50% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction

    • Ansgar Jüngel
    Pages 1-17

  3. Fokker–Planck Equations

    • Ansgar Jüngel
    Pages 19-44

  4. Systematic Integration by Parts

    • Ansgar Jüngel
    Pages 45-68

  5. Cross-Diffusion Systems

    • Ansgar Jüngel
    Pages 69-108

  6. Towards Discrete Entropy Methods

    • Ansgar Jüngel
    Pages 109-130

  7. Back Matter

    Pages 131-139
    Download chapter PDF
Back to top

Keywords

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.

Reviews

“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)

Authors and Affiliations

  • Analysis and Scientific Computing, Vienna University of Technology, Wien, Austria

    Ansgar Jüngel

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation