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Notes on Magneto-Hydrodynamics, Vol. 5 (Classic Reprint): Theory of Maxwell's Equations Without Displacement Current: Theory of Maxwell's Equations Without Displacement Current (Classic Reprint) - Softcover

Blank, A. A.

 
9781333723811: Notes on Magneto-Hydrodynamics, Vol. 5 (Classic Reprint): Theory of Maxwell's Equations Without Displacement Current: Theory of Maxwell's Equations Without Displacement Current (Classic Reprint)

Inhaltsangabe

Explore the math and methods behind magneto-hydrodynamics and the Maxwell equations without displacement current. This rigorous text presents how potentials, vector decompositions, and harmonic analysis clarify complex electromagnetic problems. It ties abstract theory to practical formulations used in plasma and field studies.

The material focuses on the orthogonal decomposition of vector fields, the role of potentials, and how different boundary and period conditions shape solutions. You’ll see how variational principles, Hilbert space concepts, and planar duality help reveal the structure of Maxwell-like systems and their pre-Maxwell counterparts.


  • Detailed discussions of irrotational and solenoidal components and their harmonic refinements

  • How boundary data and period data influence vector potentials and field representations

  • The connection between three-dimensional theory and two-dimensional harmonic fields

  • Methods to relate Maxwell solutions to simplified pre-Maxwell models through data omission



Ideal for readers of advanced mathematical physics and applied electromagnetism who want a deeper, formal understanding of field decompositions and boundary-value problems.

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