Authors:
- Summarizes advances in different fields never before presented in one book
- Contains detailed descriptions of mathematical approaches and techniques
- Useful for experts and graduate students alike
Part of the book series: Advances in Mathematical Fluid Mechanics (AMFM)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems.
Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout.
This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
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Authors and Affiliations
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Institute of Continuous Media Mechanics, UB RAS, Perm, Russia
Sergey Shklyaev
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Technion, Department of Mathematics, Haifa, Israel
Alexander Nepomnyashchy
Bibliographic Information
Book Title: Longwave Instabilities and Patterns in Fluids
Authors: Sergey Shklyaev, Alexander Nepomnyashchy
Series Title: Advances in Mathematical Fluid Mechanics
DOI: https://doi.org/10.1007/978-1-4939-7590-7
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2017
Hardcover ISBN: 978-1-4939-7588-4Published: 09 December 2017
Softcover ISBN: 978-1-4939-8529-6Published: 30 August 2018
eBook ISBN: 978-1-4939-7590-7Published: 08 December 2017
Series ISSN: 2297-0320
Series E-ISSN: 2297-0339
Edition Number: 1
Number of Pages: XVI, 456
Number of Illustrations: 47 b/w illustrations, 18 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Fluid- and Aerodynamics, Mathematical Physics, Engineering Fluid Dynamics