Singularity formation for the compressible Euler equations with general pressure law

Abstract

In this paper, the singularity formation of classical solutions for the compressible Euler equations with general pressure law is considered. The gradient blow-up of classical solutions is shown without any smallness assumption by the delicate analysis on the decoupled Riccati type equations. The proof also relies on a new estimate for the upper bound of density.

18 pages, 1 figure

References in corpus (2)

• Singularity formation for compressible Euler equations
• Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics