Use (4.1), for a perfectly conducting fluid, and the nonlinear equation of continuity (1.1), to show that
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Use (4.1), for a perfectly conducting fluid, and the nonlinear equation of continuity (1.1), to show that the change of B with time in a fluid element is related to changes of density according to
Use this relation to establish that, in a perfectly conducting fluid, the fluid elements that lie initially on a magnetic flux line continue to lie on a flux line.
Equations
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