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Longwave Instabilities and Patterns in Fluids

  • Sergey Shklyaev
  • Alexander Nepomnyashchy

Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 1-18
  3. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 19-56
  4. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 57-123
  5. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 209-237
  6. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 239-285
  7. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 287-327
  8. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 329-397
  9. Sergey Shklyaev, Alexander Nepomnyashchy
    Pages 399-404
  10. Back Matter
    Pages 405-456

About this book

Introduction

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. 

Keywords

Pattern Formation Nonlinear Stability Theory Longwave Instability Nonlinear Evolution Equations Convection Front Instabilities Control of Instabilities

Authors and affiliations

  • Sergey Shklyaev
    • 1
  • Alexander Nepomnyashchy
    • 2
  1. 1.Institute of Continuous Media MechanicsUB RASPermRussia
  2. 2.Technion, Department of MathematicsHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-7590-7
  • Copyright Information Springer Science+Business Media, LLC 2017
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-7588-4
  • Online ISBN 978-1-4939-7590-7
  • Series Print ISSN 2297-0320
  • Series Online ISSN 2297-0339
  • Buy this book on publisher's site
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