4 papers
Hardy Space and Exponential Decay of Inhomogeneous Navier-Stokes System in the 2D Global domain
Xinyu Fan, Boqiang Lv, Xue Wang
We investigate the inhomogeneous incompressible Navier-Stokes system in the 2D global domain with zero initial total momentum, allowing vacuum and densities with finite moments but…
The Compressible Navier-Stokes Equations on the Multi-Connected Domains
Xinyu Fan, Song Jiang, Jing Li
This paper investigates the isentropic compressible Navier-Stokes equations on k-connected domains under Navier-slip boundary conditions. We study the multi-solvability of the stat…
Axisymmetric weak solutions to stationary compressible Navier-Stokes equations with critical indices
Xinyu Fan, Song Jiang
This paper studies the isothermal stationary compressible Navier-Stokes equations on global space and cylinder domains. There are two critical exponents in such settings: The heat…
Large-Time Behavior of the 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum
Xinyu Fan, Jing Li, Xue Wang
The large time behavior of the unique strong solution to the barotropic compressible Navier-Stokes system is studied with large external forces and initial data, where the shear vi…