Introduction to the Mathematical Theory of Compressible Flow

Antonín Novotny, Ivan Straskraba (Autoren)

Buch | Hardcover

528 Seiten

2004
Oxford University Press (Verlag)
9780198530848 (ISBN)

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This book provides a rapid introduction to the mathematical theory of compressible flow, giving a comprehensive account of the field and all important results up to the present day. The book is written in a clear, instructive and self-contained manner and will be accessible to a wide audience.

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 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 aspects that are rigorously presented later on in the text; for instance, 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 extensive bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow, as well as in the book itself.

Antonín Novotný is Senior Researcher at the Laboratoire ANAM, Université 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.

1. Fundamental concepts and equations ; 2. Theoretical results for the Euler equations ; 3. Some mathematical tools for compressible flows ; 4. Weak solutions for steady compressible Navier-Stokes equations in barotropic regime ; 5. Strong solutions for steady compressible Navier-Stokes equations and small data ; 6. Some mathematical tools for non-steady equations ; 7. Weak solutions for non-stationary compressible Navier-Stokes equations ; 8. Global behavior of weak solutions ; 9. Strong solutions of non-steady compressible Navier-Stokes equations

Erscheint lt. Verlag	17.6.2004
Reihe/Serie	Oxford Lecture Series in Mathematics and Its Applications ; 27
Verlagsort	Oxford
Sprache	englisch
Maße	163 x 241 mm
Gewicht	923 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-13	9780198530848 / 9780198530848
Zustand	Neuware