Entropy Methods for Diffusive Partial Differential Equations

• Κύριος συγγραφέας: Jüngel, Ansgar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Difference equations.; Functional equations.; Functional analysis.; Partial differential equations.; Partial Differential Equations.; Functional Analysis.; Difference and Functional 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...

Πίνακας περιεχομένων:

• 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.