Mathematical Sciences Department Analysis/PDE Seminar: Dr. Manas Bhatnagar, Umass Amherst

Title: Classical and weak solutions to Eulerian systems

Abstract: The talk will be divided into two parts. In the first part, we will talk about Critical Threshold Phenomena (CTP) in Euler-Poisson systems. I will introduce CTP and the relevant equations and then we will see some new results. The second part will be on the weak solutions of the equations of isentropic gas dynamics. We will see a new method to construct weak solutions to conservation laws, with arbitrary data, that is, a Modified Front Tracking Scheme, and the convergence thereof.