Notes on Magneto-Hydrodynamics, Vi (Classic Reprint): Fluid Magnetic Equations General Properties: Fluid Magnetic Equations General Properties (Classic Reprint) - Softcover

Inhaltsangabe

Explore the fundamentals of magneto-hydrodynamics with clear, math‑driven insight into how magnetic and fluid forces interact. This collection of notes presents the electromagnetic and fluid equations, from the full Maxwell system to a pre-Maxwell variant that omits displacement current. It explains how these laws combine with fluid motion, energy and momentum balances, and the conditions that arise at discontinuities, all framed for practical use in nonrelativistic settings.

This edition emphasizes how to formulate problems using integral forms, derive jump conditions, and apply Ohm’s law in conductive media. It shows how magnetic energy, flux, and forces are treated when displacement current is neglected and how these choices affect conservation statements and the behavior of current sheets and interfaces.

• Derivations of the electromagnetic, fluid, and momentum equations in both differential and integral forms


• Jump conditions across discontinuities and the role of surface currents and charges


• Ohm’s law variants for perfect and finitely conductive media, including Hall effects


• Special cases that illuminate magnetic flux “frozen-in” behavior and diffusion

Ideal for readers who want a rigorous, approachable bridge between classical electromagnetism and fluid dynamics, this book clarifies the assumptions and mathematics behind magneto-hydrodynamic models.

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