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A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations

  • Michael Westdickenberg (RWTH Aachen, Germany)
A3 01 (Sophus-Lie room)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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