The general form of a conservation law is where U ijk… is a tensor of rank N and F mijk… is a tensor or rank N + 1. Integrating over the volume and applying Gauss’ theorem, we have which expresses the conservation of the volume integral of U ijk… . The tensor F mijk… is the flux of U ijk… in the direction of x m ; the surface integral expresses the total flux through the bounding surface.
Conservation must come before recreation.
Prince Charles of England, July 5, 1989
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© 2009 Springer-Verlag Berlin Heidelberg
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Schnack, D.D. (2009). Conservation Laws. In: Lectures in Magnetohydrodynamics. Lecture Notes in Physics, vol 780. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00688-3_8
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