The analogue of Kelvin's theorem in hydromagnet.es

De, Jaydip

doi:10.1007/bf00621091

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“…As a special case, one may choose r to be a closed line of B, say rB. In this case the second term in (27) vanishes and one is left with (De 1957) T o illalce the hydrodynamical equation (23) suitable, as a second step one introduces the generalized hj-clrodynamical or Clebsch potentials x, q, l defined by (Ito 1953;Lamb 1953) These are particularly convenient, because one can always visualize the lines of the generalized vorticity = VqXVt as the lines of intersection of the surfaces q = coilstant and 6 = constant. The generalized Clebsch potentials reduce to the ordinary Clebsch potentials when the magnetic illduction B…”

Section: ~-;~V [~+ + + V ( V +~-~B X P ) ]mentioning

confidence: 99%

An Action Principle for Magnetohydrodynamics

Calkin¹

1963

Can. J. Phys.

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The equations of motion of an inviscid, infinitely conducting fluid in an electronlagnetic field are transformed into a form s~~i t a b l e for a n action principle. An action principle from which these equations may be derived is found. The conservation laws follo~v from invariance properties of the action. The spacetime 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 Ilel~llholtz vortex theorem of hydrodyan~nics, 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.*From a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy a t the University of British Columbia, October, 1961.thTow a t

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Section: ~-;~V [~+ + + V ( V +~-~B X P ) ]mentioning

confidence: 99%

An Action Principle for Magnetohydrodynamics

Calkin¹

1963

Can. J. Phys.

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The analogue of Kelvin's theorem in hydromagnet.es

Cited by 1 publication

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An Action Principle for Magnetohydrodynamics

An Action Principle for Magnetohydrodynamics

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