Yan-Bo Hu

Structurally stable singularities and Lipschitz stable optimal transport metrics for the compressible Euler equations

It is well known that solutions to the compressible Euler equations can develop singularities in finite time. In this paper, we carry out a detailed analysis on behaviors of solutions up to the time of the first singularity for the one-dimensional compressible Euler equations with general smooth initial data. Our main...