Introduction to the mathematical theory of compressible flow
著者
書誌事項
Introduction to the mathematical theory of compressible flow
（Oxford lecture series in mathematics and its applications, 27）
Oxford University Press, 2004
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注記
Includes bibliographical references (p. 485-498) and index
内容説明・目次
内容説明
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.
目次
- 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
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