Mathematical Physics

This page contains a list of ideas for DRP projects, but is by no means exhaustive.

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Topic: Intro to Relativistic Fluids

Description: What are relativistic fluids and how can we model them using PDEs? We can discuss standard PDE and geometric techniques that are used to show the existence of solutions, as well as applications.

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Miscellaneous PDE Topics: Quasilinear wave equations, functional-analytic techniques for local well-posedness

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Miscellaneous topics in Mathematical Physics: based on interest of the student, Special/General Relativity, Magneto-Hydrodynamics (MHD), astrophysics, etc