Skip to main content
Birkhäuser

Longwave Instabilities and Patterns in Fluids

  • Book
  • © 2017

Overview

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

Keywords

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. 

Reviews

“This book represents an important and interesting contribution to the theory of longwave instabilities and patterns in fluids. The hypotheses are clearly stated and the governing parameters are correctly selected, and the governing equations are solved both analytically and numerically. … The book will be of interest for researchers and graduate students in applied mathematics, physics, and engineering. The authors are to be lauded for presenting an excellent book.” (Ioan Pop, zbMATH 1384.76001, 2018)

Authors and Affiliations

  • Institute of Continuous Media Mechanics, UB RAS, Perm, Russia

    Sergey Shklyaev

  • Technion, Department of Mathematics, Haifa, Israel

    Alexander Nepomnyashchy

Bibliographic Information

Publish with us