Introduction to the Mathematical Theory of Compressible Flow

by Antonïn Novotnï, Ivan Straskraba

Overview

This book provides a comprehensive introduction to the mathematical theory of compressible flow, describing both inviscid and viscous compressible flow, which are governed by the Euler and Navier-Stokes equations respectively. The method of presentation allows readers with different backgrounds to focus on various modules of the material, either in part or more fully. Chapters include detailed heuristic arguments providing motivation for technical details that are rigorously presented later on in the text. This especially concerns the existence theory for steady and unsteady Navier-Stokes equations of isentropic compressible flow, and two by two systems of Euler equations in one space dimension. These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes a rich index and an extensive bibliography, which allow quick orientation on the book itself as well as in the vast literature about the mathematical theory of compressible flow.

Product Details

ISBN-13:	9780198530848
Publisher:	Oxford University Press
Publication date:	08/26/2004
Series:	Oxford Lecture Series in Mathematics and Its Applications , #27
Pages:	528
Product dimensions:	9.30(w) x 6.20(h) x 1.40(d)

About the Author

Antonín Novotný is Senior Researcher at the Laboratoire ANAM, Université de Toulon et du Var in France. Ivan Straškraba is a Senior Research Scientist at the Mathematical Institute of the Academy of Sciences in the Czech Republic.

Table of Contents

1. Fundamental concepts and equations2. Theoretical results for the Euler equations3. Some mathematical tools for compressible flows4. Weak solutions for steady compressible Navier-Stokes equations in barotropic regime5. Strong solutions for steady compressible Navier-Stokes equations and small data6. Some mathematical tools for non-steady equations7. Weak solutions for non-stationary compressible Navier-Stokes equations8. Global behavior of weak solutions9. Strong solutions of non-steady compressible Navier-Stokes equations