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Internal Waves in the Ocean

Theory and Practice

  • Book
  • © 2022

Overview

Authors:
  1. Marek Stastna

    1. Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

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  • Presents unique and comprehensive coverage of nonlinear internal wave theories applied to the coastal ocean
  • Includes self-contained MATLAB codes, allowing readers to independently regenerate theoretical figures
  • Structures text in self-contained, two-part narrative incorporating both exposition and deeper analysis

Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences (STAMS, volume 9)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Background and Equation Summaries

    • Marek Stastna
    Pages 1-16

  3. Derivations: Linear, Weakly Nonlinear, and Conjugate Flow Theory

    • Marek Stastna
    Pages 17-36

  4. Using Linear and Weakly Nonlinear Theory

    • Marek Stastna
    Pages 37-60

  5. Exact Internal Solitary Waves

    • Marek Stastna
    Pages 61-81

  6. Exact Internal Hydraulics

    • Marek Stastna
    Pages 83-95

  7. Mode-2 Waves

    • Marek Stastna
    Pages 97-114

  8. Concluding Thoughts

    • Marek Stastna
    Pages 115-117

  9. Back Matter

    Pages 119-119
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Keywords

About this book

This monograph provides a concise overview of nonlinear internal wave theory. It serves as a self-contained reference for both students of mathematics as well as scientific professionals by presenting the material in two parts, isolating the narrative analysis from the mathematical detail. This unique format allows the text to remain accessible to oceanographers and researchers outside of mathematics by presenting a range of relevant theories on their own terms. Conversely, it enables applied mathematicians to understand how the conversation between mathematics and sciences proceeds in a field that has developed through a combination of the two. In addition, the text is supplemented by hands-on Matlab software, as the book incorporates a collection of working codes that enable readers to reproduce all theoretical figures in the text, with modification potential to fit a range of applications including a number of mini-projects outlined throughout the text.

Authors and Affiliations

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

    Marek Stastna

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