Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Mathematics of Planet Earth

Applied Wave Mathematics II

Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity

Editors: Berezovski, Arkadi, Soomere, Tarmo (Eds.)

Free Preview
  • High-quality research in applied mathematics coming from two renowned research institutesThe papers are written in a tutorial style, intended for non-specialist researchers and students.The contributions describe the approaches in an understandable way and can be used for educational purposes 

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-030-29951-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
About this book

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia.

The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role.

The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem.

Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues.

All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Table of contents (16 chapters)

Table of contents (16 chapters)
  • An Approximate Theory of Linear Waves in an Elastic Layer and Its Relation to Microstructured Solids

    Pages 3-27

    Braun, Manfred (et al.)

  • Antiplane Surface Wave Propagation Within the Stress Gradient Surface Elasticity

    Pages 29-37

    Eremeyev, Victor A.

  • Dispersive and Nondispersive Nonlinear Long Wave Transformations: Numerical and Experimental Results

    Pages 41-60

    Torsvik, Tomas (et al.)

  • Nonlinear Models of Finite Amplitude Interfacial Waves in Shallow Two-Layer Fluid

    Pages 61-87

    Kurkina, Oxana (et al.)

  • Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems

    Pages 89-124

    Salupere, Andrus (et al.)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-030-29951-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Applied Wave Mathematics II
Book Subtitle
Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity
Editors
  • Arkadi Berezovski
  • Tarmo Soomere
Series Title
Mathematics of Planet Earth
Series Volume
6
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-29951-4
DOI
10.1007/978-3-030-29951-4
Hardcover ISBN
978-3-030-29950-7
Series ISSN
2524-4264
Edition Number
1
Number of Pages
XXXIII, 376
Number of Illustrations
25 b/w illustrations, 82 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.