Entropy methods for diffusive partial differential equations [electronic resource] / Ansgar Jüngel.
2016
QA377
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Title
Entropy methods for diffusive partial differential equations [electronic resource] / Ansgar Jüngel.
ISBN
9783319342191 (electronic book)
3319342193 (electronic book)
9783319342184
3319342193 (electronic book)
9783319342184
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (viii, 139 pages) : color illustrations.
Item Number
10.1007/978-3-319-34219-1 doi
Call Number
QA377
Dewey Decimal Classification
515/.353
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 28, 2016).
Series
SpringerBriefs in mathematics.
Available in Other Form
Print version: 9783319342184
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Table of Contents
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.
2 Fokker-Planck equations
3 Systematic Integration by Parts
4 Cross-Diffusion Systems
5 Towards Discrete Entropy Methods
6 Appendix A: Technical Tools.