1963/12/01 by M. G. Calkin · 6 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #Solar and Space Plasma Dynamics
paper · doi:10.1139/p63-216
crossref issued 1963/12/01 · crossref published 1963/12/01 · crossref published-print 1963/12/01 · openalex publication_date 1963/12/01 · crossref created 2011/04/24 · crossref deposited 2025/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21 · crossref indexed 2026/07/25
The equations of motion of an inviscid, infinitely conducting fluid in an electromagnetic field are transformed into a form suitable for an action principle. An action principle from which these equations may be derived is found. The conservation laws follow from invariance properties of the action. The space–time invariances lead to the conservation of momentum, energy, angular momentum, and center of mass, while the gauge invariances lead to conservation of mass, a generalization of the Helmholtz vortex theorem of hydrodyanmics, and the conservation of the volume integrals of A∙B and v∙B, where A is the vector potential, B is the magnetic induction, and v is the fluid velocity.