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Applied Mathematical Sciences

Stability and Transition in Shear Flows

Authors: Schmid, Peter J., Henningson, Dan S.

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eBook $129.00
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  • ISBN 978-1-4613-0185-1
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Hardcover $219.99
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  • ISBN 978-0-387-98985-3
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Softcover $169.99
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  • ISBN 978-1-4612-6564-1
  • Free shipping for individuals worldwide
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About this book

The field of hydrodynamic stability has a long history, going back to Rey­ nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.

Reviews

From the reviews:

SIAM REVIEW

"This book presents a modern treatment of stability in shear flows. Stability theory has seen a number of classic treatments over the years…Schmid and Henningson’s book builds on these and offers much new material relevant to stability in shear flows…The MATLAB codes included in the appendix and a discussion of the effects of rounding error and resolution on the computations of eigenvalues of linear stability operators will be particularly helpful for students and researchers as they get started with stability computations…As the basis for a course, the first part of the book would permit students to build a solid foundation in classical and modern stability theory, while a selection of advanced topics from the second half of the book could be treated later in the course or through projects and independent study by students."

ZENTRALBLATT MATH

"The book addresses to graduate students as well as to a broad community of researchers with a basic knowledge of fundamental fluid dynamics…The topics are treated with mathematical rigor while the physical motivation and usefulness of mathematical concepts is kept close at hand. The work is elegantly structured, and the graphical material is very suggestive."


Table of contents (9 chapters)

  • Introduction and General Results

    Schmid, Peter J. (et al.)

    Pages 1-10

  • Linear Inviscid Analysis

    Schmid, Peter J. (et al.)

    Pages 15-53

  • Eigensolutions to the Viscous Problem

    Schmid, Peter J. (et al.)

    Pages 55-98

  • The Viscous Initial Value Problem

    Schmid, Peter J. (et al.)

    Pages 99-151

  • Nonlinear Stability

    Schmid, Peter J. (et al.)

    Pages 153-193

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-1-4613-0185-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-387-98985-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-1-4612-6564-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability and Transition in Shear Flows
Authors
Series Title
Applied Mathematical Sciences
Series Volume
142
Copyright
2001
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-0185-1
DOI
10.1007/978-1-4613-0185-1
Hardcover ISBN
978-0-387-98985-3
Softcover ISBN
978-1-4612-6564-1
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIII, 558
Topics