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PhD Defense

NOV 2, 5:00 pm. / via Zoom

Mark D. Suder
Advisor: A. Tudorascu

On the Lagrangian Description and Uniqueness for the one-dimensional Pressureless Euler System

Abstract: In this work we show that the one-dimensional pressureless Euler system admits a Lagragian characterization under fairly general initial conditions, extending recent results by Hynd. Moreover, we show that if the initial velocity is right-continuous and bounded, then we have uniqueness of this Lagrangian solution (called Sticky Particles Flow, or SPF solution), which coincides with the Scalar Conservation Laws (or SCL) solution.

Zoom password: Yr1E1r