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**Synopsis:**

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.

As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

**Review:**

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“This book is a very interesting contribution to the mathematical theory of partial differential equations describing the flow of compressible heat conducting fluids together with their singular limits. ... The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits.” (Milan Pokorny,* *Zentralblatt MATH, Vol. 1176, 2010)

“The authors start from the observation that ... mathematical models used in fluid mechanics rely on formal asymptotic analysis of more complex systems. The purpose of their book is to give rigorous proofs of several of these asymptotics. ... This book is of the highest quality from every point of view. ... It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements.” (Denis Serre, Mathematical Reviews, Issue 2011 b)

Title: **Singular Limits In Thermodynamics Of Viscous...**

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Published by
Birkhäuser
(2009)

ISBN 10: 3764388420
ISBN 13: 9783764388423

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**Book Description **Birkhäuser, 2009. Hardcover. Book Condition: New. 2009. Bookseller Inventory # DADAX3764388420

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Published by
Birkhäuser Basel
(2009)

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**Book Description **Birkhäuser Basel, 2009. Hardcover. Book Condition: Used: Good. Bookseller Inventory # SONG3764388420

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**Book Description **Book Condition: New. Verify ISBN for International Edition; Year of Publication 3764388420. Bookseller Inventory # 276676

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Birkhäuser Basel 2009-02-19, Basel
(2009)

ISBN 10: 3764388420
ISBN 13: 9783764388423

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**Book Description **Birkhäuser Basel 2009-02-19, Basel, 2009. hardback. Book Condition: New. Bookseller Inventory # 9783764388423

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Published by
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(2009)

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**Book Description **BirkhÇÏuser, 2009. Hardback. Book Condition: NEW. 9783764388423 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0371324

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**Book Description **BirkhÃ¤user, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9783764388423_lsuk

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Published by
Birkhauser Verlag AG
(2009)

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**Book Description **Birkhauser Verlag AG, 2009. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9783764388423

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Published by
Springer Basel AG Feb 2009
(2009)

ISBN 10: 3764388420
ISBN 13: 9783764388423

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**Book Description **Springer Basel AG Feb 2009, 2009. Buch. Book Condition: Neu. Neuware - Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. 382 pp. Englisch. Bookseller Inventory # 9783764388423

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Published by
Springer Basel AG Feb 2009
(2009)

ISBN 10: 3764388420
ISBN 13: 9783764388423

New
Quantity Available: 1

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**Book Description **Springer Basel AG Feb 2009, 2009. Buch. Book Condition: Neu. Neuware - Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. 382 pp. Englisch. Bookseller Inventory # 9783764388423

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Published by
Springer Basel AG Feb 2009
(2009)

ISBN 10: 3764388420
ISBN 13: 9783764388423

New
Quantity Available: 1

Seller

Rating

**Book Description **Springer Basel AG Feb 2009, 2009. Buch. Book Condition: Neu. Neuware - Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids. 382 pp. Englisch. Bookseller Inventory # 9783764388423

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