Analysis of Fluids and Related Topics
-
Theodore D. Drivas
-
Stony Brook University
-
Simultaneous Development of Shocks and Weak Discontinuities from Smooth Data
Zoom link: https://princeton.zoom.us/j/4745473988
The speaker will discuss some recent work on shock formation and propagation of singularities for compressible Euler. The aim is to describe precisely the structure of an entropy producing shock in its early phase (starting from smooth initial conditions), and also describe with some detail a collection of weaker singularities that are born with it. These singularities are in the derivatives of the solution fields and travel along different characteristics than the shock. This reports on joint work with T. Buckmaster, S. Shkoller, and V. Vicol.