The book develops the most recent ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. Two main goals are pursued: (i) global existence theory within the framework of variational (weak) solutions for the full system of the Navier-Stokes equations supplemented with large data; and (ii) optimal existence results for the barotropic flows with respect to the available a priori estimates. The book is intended to be a compact and self-contained presentation of the most recent results of the mathematical theory of viscous compressible fluids. In order to place the text in better perspective, each chapter is concluded with a section devoted to historical notes including references to all important and new results. The material is by no means intended to be the last word on the subject but rather to indicate possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students.
| ISBN: | 9780198528388 |
| Publication date: | 4th December 2003 |
| Author: | Eduard , Mathematical Institute of the Academy of Sciences of the Czech Republic Feireisl |
| Publisher: | Oxford University Press |
| Format: | Hardback |
| Pagination: | 226 pages |
| Series: | Oxford Lecture Series in Mathematics and Its Applications |
| Genres: |
Applied mathematics Physics: Fluid mechanics Engineering: general |