|DATE||February 12 (Tue), 2019|
|TITLE||C^1 blow-up for the compressible Euler equations|
|ABSTRACT||We discuss the formation of singularity for the compressible Euler equations.
To this end, we first review some fundamental properties of the hyperbolic system of conservation laws including shock waves, rarefaction waves and Riemann invariants. Then we shall go over the existing results on C^1 blow-up for 1d p-system that is obtained from the compressible Euler equations via the Lagrangian coordinates. If time permits, we will discuss some related problems arising in the Euler-Poisson system.