Many important PDE can be derived from the action principle in a Lagrangian setting; that is, their solutions are critical points of certain functionals. This is true, for instance, of Poisson's equation, the wave equation, and Einstein's equations. We will begin this talk by introducing the setup of classical Lagrangian field theory and deriving the stress-energy tensor of such a theory. We will then focus our attention on the wave equation, and see how these ideas allow us to derive familiar conservation laws. Speaker(s): Christopher Stith (University of Michigan)
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