LECTURE NOTES ON APPLIED MATHEMATICS
Jun 17, 2009 · of a concept of seemingly great generality is in essence the same as a small and concrete special case.1 We begin by describing a rather general framework for the derivation of PDEs that describe the conservation, or balance, of some quantity. 1. Conservation laws We consider a quantity Qthat varies in space, ~x, and time, t, with density u(~x;t),
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