國立虎尾科技大學 |

Entropy methods for diffusive partial differential equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Entropy methods for diffusive partial differential equations/ by 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

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

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

527784
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Entropy methods for diffusive partial differential equations
LDR:02150nam a2200325 a 4500 001 865252
003 DE-He213
005 20161130135327.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319342191 $q (electronic bk.)
020 $a 9783319342184 $q (paper)
024 7 $a 10.1007/978-3-319-34219-1 $2 doi
035 $a 978-3-319-34219-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .J95 2016
100 1 $a Jungel, Ansgar. $3 898341
245 1 0 $a Entropy methods for diffusive partial differential equations $h [electronic resource] / $c by Ansgar Jungel.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a viii, 139 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
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.
650 0 $a Differential equations, Partial. $3 527784
650 0 $a Entropy. $3 596653
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Difference and Functional Equations. $3 672077
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-34219-1
950 $a Mathematics and Statistics (Springer-11649)