Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws

• Main Author: Webb, Gary (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Physics, 946
• Subjects: Fluids.; Plasma (Ionized gases).; Geophysics.; Space sciences.; Environmental sciences.; Fluid- and Aerodynamics.; Plasma Physics.; Geophysics/Geodesy.; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics).; Environmental Physics.

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 phy...

Table of Contents:

• Introduction
• The MHD Equations and Thermodynamics
• Advected Invariants in MHD and Fluid Dynamics
• Topological Invariants
• Euler Poincaré Approach
• Hamiltonian Approach
• Multi-Symplectic Formulation
• The Lagrangian Map
• Symmetries and Noether's Theorems in MHD
• MHD Stability
• Concluding Remarks.