Seminar Event Detail

Student Analysis

Date:  Monday, September 27, 2021
Location:  3866 East Hall (5:00 PM to 6:00 PM)

Title:  Lagrangians in PDE

Abstract:   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:  Christopher Stith
Institution:  University of Michigan

Event Organizer:     


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