15 citations · 35 across the 6 of their papers we have counts for
6 papers
Global Strong Solutions to Density-Dependent Viscosity Navier-Stokes Equations in 3D Exterior Domains
Guocai Cai, Boqiang Lü, Yi Peng
The nonhomogeneous Navier-Stokes equations with density-dependent viscosity is studied in three-dimensional (3D) exterior domains with nonslip or slip boundary conditions. We prove…
Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Exterior Domains
Guocai Cai, Jing Li, Boqiang Lü
We are concerned with the global existence of classical solutions to the barotropic compressible Navier-Stokes equations with slip boundary condition in a three-dimensional (3D) ex…
Nonlinearly stability of solutions on the outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity
Guocai Cai, Canpei Chen, Yanfang Peng
In this paper, the one-dimensional compressible Navier-Stokes system with outer pressure boundary conditions is investigated. Under some suitable assumptions, we prove that the spe…
On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with degenerate heat conductivity
Guocai Cai, Yanfang Peng, Yi Peng
We consider the one-dimensional compressible Navier-Stokes system with constant viscosity and the nonlinear heat conductivity being proportional to a positive power of the temperat…
On Compressible Navier-Stokes Equations Subject to Large Potential Forces with Slip Boundary Conditions in 3D Bounded Domains
Guocai Cai, Bin Huang, Xiaoding Shi
We deal with the barotropic compressible Navier-Stokes equations subject to large external potential forces with slip boundary condition in a 3D simply connected bounded domain, wh…
Existence and Exponential Growth of Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Bounded Domains
Guocai Cai, Jing Li
We investigate the barotropic compressible Navier-Stokes equations with slip boundary conditions in a three-dimensional (3D) simply connected bounded domain, whose smooth boundary…