4 papers
Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions
Weixuan Shi
The present paper is dedicated to the large time asymptotic behavior of global strong solutions near constant equilibrium (away from vacuum) to the compressible Navier-Stokes-Poiss…
The large-time behavior of solutions in the critical framework for compressible viscous and heat-conductive gas flows
Weixuan Shi, Jiang Xu
The theory for non-isentropic Navier-Stokes equations governing compressible viscous and heat-conductive gases is not yet proved completely so far, because the critical reg…
A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical framework
Wei Xuan Shi, Jiang Xu
The compressible Navier-Stokes-Poisson system takes the form of usual Navier-Stokes equations coupled with the self-consistent Poisson equation, which is used to simulate the trans…
Large time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework
Weixuan Shi, Jiang Xu
In this paper, we are concerned with the compressible viscous magnetohydrodynamic (MHD) system and investigate the large time behavior of strong solutions near constant equilibrium…