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Entropy methods for diffusive partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Entropy methods for diffusive partial differential equations/ by Ansgar Jungel.
作者:	Jungel, Ansgar.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	viii, 139 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differential equations, Partial. -
電子資源:	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
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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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