Dynamics of Viscous Compressible Fluids

by Eduard Feireisl

Overview

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 include possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students.

Product Details

ISBN-13:	9780198528388
Publisher:	Oxford University Press
Publication date:	02/12/2004
Series:	Oxford Lecture Series in Mathematics and Its Applications , #26
Pages:	226
Product dimensions:	9.30(w) x 6.30(h) x 0.70(d)

About the Author

Mathematical Institute of the Academy of Sciences of the Czech Republic

Table of Contents

1. Physical background2. Mathematical preliminaries3. A priori estimates4. Variational solutions5. Pressure and temperature estimates6. Fundamental ideas7. Global existence