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Dynamics of Viscous Compressible Fluids (Oxford Lecture Series in Mathematics and Its Applications)
 
 
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Dynamics of Viscous Compressible Fluids (Oxford Lecture Series in Mathematics and Its Applications) [Hardcover]

Eduard Feireisl (Author)

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Book Description

0198528388 978-0198528388 February 12, 2004
The book develops the most recent ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. Two main goals are pursued: (I) global existence theory within the framework of variational (weak) solutions for the full system of the Navier-Stokes equations supplemented with large data; and (II) optimal existence results for the barotropic flows with respect to the available a priori estimates. The book is intended to be a compact and self-contained presentation of the most recent results of the mathematical theory of viscous compressible fluids. In order to place the text in better perspective, each chapter is concluded with a section devoted to historical notes including references to all-important and new results. The material is by no means intended to be the last word on the subject but rather to include possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students.

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Editorial Reviews

Review

...will be of interest to students and resaerchers in the dynamics of fluids. Valeriu Al. Sava, Zentralblatt MATH, Vol 1080

About the Author

Eduard Feireisl is at Mathematical Institute of the Academy of Sciences of the Czech Republic.

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Inside This Book (learn more)
First Sentence:
An investigation into the behavior of a fluid in motion may be undertaken from either a microscopic or a macroscopic point of view. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
renormalized solution, renormalized limit, sequential stability, thermal energy equation, nonlinear compositions, energy inequality, accordance with hypothesis, viscous compressible fluids, defect measure, variational solution, pressure estimates, barotropic flows, distributional solutions, energy equality, viscous pressure, density oscillations, weak continuity, priori estimates, compensated compactness, weak formulation, integral averages, energy estimates, momentum equation, integral identity, arbitrary domain
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