Mathematical Magnetohydrodynamics

Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering sytems, e.g., metallurgy or thermonuclear fusion power. Then collisions of fluids in such fluids are examined as well as motion of individual particles. Then the basic principles of MHD fluids are introduced along with transport phenomena, medium boundaries, and surface interactions. Then, waves and resonances of all sorts in MHD media are presented. The account concludes with the description of main MHD fluid types including plasma in fusion power generation.

Autorentext

Nikolaos Xiros is a J.L. Goldman Endowed Professor in Naval Architecture and Marine Engineering at the University of New Orleans. His career spans more than 20 years in both industry and academia and his expertise lies within the fields of marine and electromechanical systems engineering. He holds an electrical engineerâEUR(TM)s degree, a marine engineering doctorate, and a MS in mathematics. His research interests are process modeling and simulation, system dynamics, identification and control, reliability, signal and data analysis. He is author of many technical papers as well as other academic texts and reports.

Inhalt
Plasma Definition and Classification.- Collisions in Plasmas.- Motion of Charged Particles.- Plasma as a Fluid.- Transport.- Plasma Boundary.- Plasma-surface Interaction.- Particle Waves and Resonances.- Electromagnetic Waves.- Plasma Modeling.- Low-temperature DC Plasma.- Low-temperature RF Plasmas.- Magnetic Confinement Nuclear Fusion Plasma.- References.- Author's Biography.