3 papers
math.AP2024
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…
math.AP2023
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…
math.AP2023
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…