most citedLower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics

7 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2022

Global Spherically Symmetric Solutions of the Multidimensional Full Compressible Navier-Stokes Equations with Large Data

Gui-Qiang G. Chen, Yucong Huang, Shengguo Zhu

We establish the global-in-time existence of solutions of the Cauchy problem for the full Navier-Stokes equations for compressible heat-conducting flow in multidimensions with init…

math.AP2022

Global spherically symmetric solutions to degenerate compressible Navier-Stokes equations with large data and far field vacuum

Yue Cao, Hao Li, Shengguo Zhu

We consider the initial-boundary value problem (IBVP) for the isentropic compressible Navier-Stokes equations (\textbf{CNS}) in the domain exterior to a ball in $(d=2…

math.AP20147 cited

Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics

Geng Chen, Ronghua Pan, Shengguo Zhu

For the Euler equations of isentropic gas dynamics in one space dimension, also knowns as p-system in Lagrangian coordinate, it is known that the density can be arbitrarily close t…

math.AP20143 cited

On classical solutions to 2D Shallow water equations with degenerate viscosities

Yachun Li, Ronghua Pan, Shengguo Zhu

In this paper, the -D isentropic Navier-Stokes systems for compressible fluids with density-dependent viscosity coefficients are considered. In particular, we assume that the vi…

math.AP2014

Existence results and blow-up criterion of compressible radiation hydrodynamic equations

Yachun li, Shengguo Zhu

In this paper, we consider the D compressible radiation hydrodynamic (RHD) equations with thermal conductivity in a bounded domain. The existence of unique local strong solution…

math.AP2014

Existence results for viscous polytropic fluids with degenerate viscosities and far field vacuum

Shengguo Zhu

In this paper, we considered the isentropic Navier-Stokes equations for compressible fluids with density-dependent viscosities in . These systems come from the Boltzm…