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Springer Variational Formulation of Fluid and Geophysical Fluid Dynamics

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Description

This comprehensive Springer publication derives the equations of motion for fluids and ocean and atmospheric currents using variational methods unified by Hamilton's Principle of Least Action. The book analyses these equations within the framework of Lagrangian and Hamiltonian mechanics for continuous systems, providing a systematic approach to understanding fluid dynamics across multiple scales. Through detailed examination of equation symmetries and conservation laws derived from Noether's Theorem, the work establishes fundamental principles that govern both classical fluid mechanics and geophysical fluid dynamics. Ideal for researchers, graduate students, and specialists in geophysics, environmental mechanics, and applied mathematics seeking rigorous mathematical foundations for understanding fluid behaviour in natural systems.

Key Features

Derives fluid motion equations using variational methods and Hamilton's Principle of Least Action for unified theoretical foundation.

Analyses equations through Lagrangian and Hamiltonian mechanics frameworks applicable to continuous systems across scales.

Explores symmetries and conservation laws using Noether's Theorem to reveal fundamental principles in fluid dynamics.

Covers both large-scale ocean and atmospheric currents and small-scale fluid phenomena within single coherent approach.

Published by Springer as part of the Advances in Geophysical and Environmental Mechanics and Mathematics series.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
06 September 2017
Listed Since
25 April 2017

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