4 papers
Global Existence and Incompressible Limit of the Cauchy Problem for 2D Compressible Navier-Stokes Equations with Large Bulk Viscosity and Large Initial Data
Qinghao Lei, Chengfeng Xiong
This paper investigates the Cauchy problem for the barotropic compressible Navier-Stokes equations in with the constant state as far field, which may be vacuum or no…
Nonlinearly Exponential Stability for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations with Large Potential External Forces
Lingping Kang, Yanfang Peng, Chengfeng Xiong
The large time behavior for Lions-Feireisl's finite energy weak solutions to the barotropic compressible Navier-Stokes equations with large potential external forces in three-dimen…
Global Existence and Incompressible Limit for Compressible Navier-Stokes Equations in Bounded Domains with Large Bulk Viscosity and Large Initial Data
Qinghao Lei, Chengfeng Xiong
We investigate the barotropic compressible Navier-Stokes equations with Navier-slip boundary conditions in a general two-dimensional bounded simply connected domain. For initial da…
Global Existence and Incompressible Limit for Compressible Navier-Stokes Equations with Large Bulk Viscosity Coefficient and Large Initial Data
Qinghao Lei, Chengfeng Xiong
For periodic initial data with the density allowing vacuum, we establish the global existence and exponential decay of weak, strong and classical solutions to the two-dimensional(2…