Title: A Variational Principle for Periodic Waves of Infinite Depth Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0332999572
ISBN 13: 9780332999579
Binding: HRD
Condition: New
Weight: 327 grams

About this title

Synopsis

A variational approach to deep-water waves unlocks how these waves form, behave, and remain stable.

This book, A Variational Principle for Periodic Waves of Infinite Depth, presents a clear path from energy ideas to the existence and shape of steady, periodic surface waves.

Written for readers of applied mathematics and fluid dynamics, it explains how kinetic and potential energy interact in a half-infinite ocean domain. The work builds suitable functionals and uses a variational framework to derive the free-surface boundary condition and to study when waves exist and remain symmetric. The methods connect classical ideas with modern tools to describe wave profiles without resorting to brute-force calculations.

Learn how the kinetic energy and potential energy are defined for disturbances in an endless ocean and how they form a guiding functional.
See how the free boundary condition emerges as a transversality condition in a minimization problem.
Discover symmetry results that show how the wave must resemble a symmetric trough-and-crest profile under certain constraints.
Understand the role of variational methods in restricting possible wave shapes to those with non-parametric representations.

Ideal for readers interested in the mathematical analysis of waves, variational principles, and the rigorous foundations of fluid mechanics.

"About this title" may belong to another edition of this title.

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