Dynamics Of Viscous Compressible Fluids

Hardcover | December 15, 2003

byEduard Feireisl

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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 equationssupplemented 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 toall important and new results. The material is by no means intended to be the last word on the subject but rather to indicate possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students.

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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 equationssupplemented with large data; and (ii) optim...

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

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Format:HardcoverDimensions:224 pages, 9.21 × 6.14 × 0.63 inPublished:December 15, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528388

ISBN - 13:9780198528388

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Table of Contents

1. Physical background2. Mathematical preliminaries3. A priori estimates4. Variational solutions5. Pressure and temperature estimates6. Fundamental ideas7. Global existence