Abstract for the talk at 11.03.2014 (16:45 h)
Oberseminar ANALYSIS - PROBABILITYMichael Westdickenberg (RWTH Aachen, Germany)
A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations
Sticky particle solutions to the one-dimensional pressureless gas dynamics equations can be constructed by a suitable metric projection onto the cone of monotone maps, as was shown in recent work by Natile and Savare. Their proof uses a discrete particle approximation and stability properties for first order differential inclusions. Here we give a more direct proof that relies on a result by Haraux on the differentiability of metric projections.