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Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws (Lecture Notes in Physics (946)) by Gary Webb (auth.) is a nonfiction available to read on EtoBox.

What is Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws (Lecture Notes in Physics (946)) about?

This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canon

Who reads Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws (Lecture Notes in Physics (946))?

Author

Gary Webb (auth.)

Publisher

Springer International Publishing : Imprint : Springer

Published

2018

Language

EN

ISBN

9783319725109

Category

nonfiction

Subjects

Science, Mathematics, Physics