arXiv subjects

Hualin Zheng

Publications and source records attributed to Hualin Zheng.

2 recordsLinked to original sources

arXiv2015

Singularity formation for the compressible Euler equations with general pressure law

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.

math.AP↗

arXiv2014

Stability of a superposition of shock waves with contact discontinuities for the Jin-Xin relaxation system

In this paper, we consider the large time asymptotic nonlinear stability of a superposition of shock waves with contact discontinuities for the one dimensional Jin-Xin relaxation system with small initial perturbations, provided that the strengths of waves are small with the same order. The results are obtained by elementary weighted energy estimates based on the underlying wave structure and an estimate on the heat equation.

math.AP↗