3 papers
math.AP2026
Global well-posedness of isentropic compressible Navier--Stokes equations with smallness on scaling-invariant quantity in a half-space
Lin Xu, Xin Zhong
We investigate the initial-boundary value problem for the three-dimensional isentropic compressible Navier--Stokes equations in the upper half-space with the slip boundary conditio…
math.AP2025
Global strong solutions for non-isothermal compressible nematic liquid crystal flows under a scaling-invariant smallness condition
Lin Xu, Xin Zhong
We study the three-dimensional Cauchy problem for a non-isothermal compressible nematic liquid crystal system with far-field vacuum. By deriving refined energy estimates and exploi…
math.AP2025
Global well-posedness of the three-dimensional non-isentropic compressible magnetohydrodynamic equations under a scaling-invariant smallness condition
Lin Xu, Xin Zhong
We consider the Cauchy problem of the non-isentropic compressible magnetohydrodynamic equations in with far-field vacuum. By deriving delicate energy estimates and e…