Title Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws Author(s) Webb, Gary Publication Cham, Springer International Publishing, 2018. Description XIV, 301 p. 22 illus., 16 illus. in color : online resource Abstract Note 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-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman???s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfv??n simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike ISBN,Price 9783319725116 Keyword(s) 1. EBOOK 2. EBOOK - SPRINGER 3. ENVIRONMENTAL PHYSICS 4. ENVIRONMENTAL SCIENCES 5. Fluid- and Aerodynamics 6. FLUIDS 7. GEOPHYSICS 8. Geophysics/Geodesy 9. PLASMA (IONIZED GASES) 10. PLASMA PHYSICS 11. SPACE SCIENCES 12. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I10016     On Shelf