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Entropy methods for diffusive partia...

Jungel, Ansgar.

Entropy methods for diffusive partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Entropy methods for diffusive partial differential equationsby Ansgar Jungel.
Author:	Jungel, Ansgar.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 139 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Partial.
Online resource:	http://dx.doi.org/10.1007/978-3-319-34219-1
ISBN:	9783319342191$q(electronic bk.)

Entropy methods for diffusive partial differential equations
Jungel, Ansgar.

Entropy methods for diffusive partial differential equations[electronic resource] /by Ansgar Jungel. - Cham :Springer International Publishing :2016. - viii, 139 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319342191$q(electronic bk.)

Standard No.: 10.1007/978-3-319-34219-1doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Entropy methods for diffusive partial differential equations
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245 1 0 $a Entropy methods for diffusive partial differential equations $h [electronic resource] / $c by Ansgar Jungel.
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505 0 $a 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.
520 $a 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.
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650 0 $a Entropy. $3 191594
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