Introduction to the Mathematical Theory of Compressible Flow

Hardcover | June 15, 2004

byAntonin Novotny, Ivan Straskraba

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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 the Navier-Stokes equations respectively. The method of presentation allows readers with differentbackgrounds to focus on various modules of the material, either in part or more fully. Chapters include detailed heuristic arguments providing motivation for technical aspects that are rigorously presented later on in the text; for instance, the existence theory for steady and unsteady Navier-Stokesequations 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 extensive bibliography, thus allowing for quickorientation among the vast collection of literature on the mathematical theory of compressible flow, as well as in the book itself.

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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 the Navier-Stokes equations respectively. The method of presentation allows readers with differentbackgrounds to focus on various modules of the mat...

Antonin Novotny is Senior Researcher at the Laboratoire ANAM, Universite de Toulon et du Var in France. Ivan Straskraba is a Senior Research Scientist at the Mathematical Institute of the Academy of Sciences in the Czech Republic.

other books by Antonin Novotny

Format:HardcoverDimensions:528 pages, 9.21 × 6.14 × 1.32 inPublished:June 15, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198530846

ISBN - 13:9780198530848

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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