5 citations · 10 across the 7 of their papers we have counts for
11 papers
Development of singularities in the relativistic Euler equations
Nikolaos Athanasiou, Tianrui Bayles-Rea, Shengguo Zhu
The purpose of this paper is to study the phenomenon of singularity formation in large data problems for classical solutions to the Cauchy problem of the relativistic Euler equatio…
Global Solutions of a Two-Dimensional Riemann Problem for the Pressure Gradient System
Gui-Qiang G. Chen, Qin Wang, Shengguo Zhu
We are concerned with a two-dimensional (-D) Riemann problem for compressible flows modeled by the pressure gradient system that is a -D hyperbolic system of conservation law…
Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces
Feng Liu, Shuai Xi, Shengguo Zhu
In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system was investigated. If the initial norms of the vorticity…
On the global-in-time inviscid limit of the 3D isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum
Yongcai Geng, Yachun Li, Shengguo Zhu
In the recent paper, the global-in-time inviscid limit of the three-dimensional (3D) isentropic compressible Navier-Stokes equations is considered. First, when viscosity coefficien…
On the breakdown of regular solutions with finite energy for 3D degenerate compressible Navier-Stokes equations
Shengguo Zhu
In this paper, the three-dimensional (3D) isentropic compressible Navier-Stokes equations with degenerate viscosities (\textbf{ICND}) is considered in both the whole space and the…
Formation of singularities for the Relativistic Euler equations
Nikolaos Athanasiou, Shengguo Zhu
This paper contributes to the study of large data problems for solutions of the relativistic Euler equations. In the -dimensional spacetime setting, if the initial dat…