Giovanni Gallavotti

Foundations of Fluid Dynamics (eBook, PDF)

• Format: PDF

Produktbeschreibung

This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. The author writes from the vantage point of a mathematical physicist: Having in mind the important applications and approximation techniques used in physics and engineering, he carefully analyses the power of the theory. He examines, among others, the theories of Leray, Ruelle and Takens, and discusses Lorenz's ideas of attractors. This is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics.

This 2nd corrected printing has been thoroughly revised with many changes to improve readability.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 514
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9783662046708
• Artikelnr.: 52979911

Inhaltsangabe

1 Continua and Generalities About Their Equations.- 2 Empirical Algorithms.- 3 Analytical Theories and Mathematical Aspects.- 4 Incipient Turbulence and Chaos.- 5 Ordering Chaos.- 6 Developed Turbulence.- 7 Statistical Properties of Turbulence.- Name Index.- Citations Index.

Rezensionen

"Gallavotti's remarkable new book, Foundations of Fluid Dynamics, takes a fresh look at the essential formulation and phenomenology of fluid dynamics as reflected in the research of the 70s, 80s and 90s. [...] Foundations of Fluid Dynamics is strongly recommended, by this reviewer, for acquisition by academic libraries and for the use of anyone with a serious interest in the mathematical foundations of fluid dynamics." (J.H. Lienhard, Applied Mechanics Review, 55/4, 2002) "This is an advanced textbook suitable for higher level graduate coursework and as a research reference work. [...] All in all, this book presents a broad range of topics in sufficient depth to make it relatively self-contained." (Mathematical Reviews 2003e)