Entropy methods for diffusive partial differential equations

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 asymptot...

Description complète

Détails bibliographiques
Auteur principal : Jüngel Ansgar (Auteur)
Format : Livre
Langue : anglais
Titre complet : Entropy methods for diffusive partial differential equations / by Ansgar Jüngel
Publié : [Cham] : Springer International Publishing , 2016
Description matérielle : 1 vol. (VIII-139 p.)
Collection : SpringerBriefs in mathematics (Print)
Sujets :
Documents associés : Autre format: Entropy methods for diffusive partial differential equations
LEADER 03239cam a2200553 4500
001 PPN195235517
003 http://www.sudoc.fr/195235517
005 20190627114200.0
010 |a 978-3-319-34218-4  |b br. 
035 |a (OCoLC)958930816 
073 1 |a 9783319342184 
100 |a 20160921h20162016k y0frey0103 ba 
101 0 |a eng 
102 |a DE 
105 |a a a 001yy 
106 |a r 
181 |6 z01  |c txt  |2 rdacontent 
181 1 |6 z01  |a i#  |b xxxe## 
182 |6 z01  |c n  |2 rdamedia 
182 1 |6 z01  |a n 
183 1 |6 z01  |a nga  |2 rdacarrier 
200 1 |a Entropy methods for diffusive partial differential equations  |f by Ansgar Jüngel 
210 |a [Cham]  |c Springer International Publishing  |d 2016 
215 |a 1 vol. (VIII-139 p.)  |c couv. ill. en coul.  |d 24 cm 
225 0 |a SpringerBriefs in Mathematics  |x 2191-8198 
320 |a Bibliogr. en fin de chapitres. Index 
330 |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 
359 2 |b 1 Introduction.  |b 2 Fokker Planck equations.  |b 3 Systematic Integration by Parts.  |b 4 Cross-Diffusion Systems.  |b 5 Towards Discrete Entropy Methods.  |b 6 Appendix A: Technical Tools. 
410 | |0 168209411  |t SpringerBriefs in mathematics (Print)  |x 2191-8198 
452 | |0 194379949  |t Entropy methods for diffusive partial differential equations  |f by Ansgar Jüngel.  |c Cham  |n Springer International Publishing  |n Springer e-books  |d 2016  |s SpringerBriefs in Mathematics  |y 978-3-319-34219-1 
606 |3 PPN02723875X  |a Mathématiques  |2 rameau 
606 |3 PPN027846164  |a Équations différentielles fonctionnelles  |2 rameau 
606 |3 PPN02735959X  |a Analyse fonctionnelle  |2 rameau 
606 |3 PPN027225402  |a Équations aux dérivées partielles  |2 rameau 
615 |a Mathematics and Statistics  |n 11649  |2 Springer 
676 |a 515.353  |v 23 
680 |a QA370-380 
686 |a 35-02  |c 2010  |2 msc 
686 |a 35K57  |c 2010  |2 msc 
686 |a 35Q84  |c 2010  |2 msc 
686 |a 35Q92  |c 2010  |2 msc 
700 1 |3 PPN134955951  |a Jüngel  |b Ansgar  |f 1966-....  |4 070 
801 3 |a FR  |b Abes  |c 20180313  |g AFNOR 
915 |5 441092208:639559441  |b 22426 
930 |5 441092208:639559441  |b 441092208  |a 35C485  |j u 
979 |a CCFA 
991 |5 441092208:639559441  |a exemplaire créé automatiquement par l'ABES 
997 |a CCFA  |b 22426  |d CMB  |e BAP  |s d  |c 35C485 
998 |a 850403