3 papers
math.AP2025
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
Xin Liu, Edriss S. Titi, Zhouping Xin
This paper concerns the large time asymptotic behavior of solutions to the free boundary problem of the compressible primitive equations in atmospheric dynamics with physical vacuu…
math.AP2025
Global well-posedness of the Cauchy problem for the modified Whitham equations
Han Cui, Yuexun Wang, Zhouping Xin
This paper aims to show global existence and modified scattering for the solutions of the Cauchy problem to the modified Whitham equations for small, smooth and localized initial d…
math.AP2025
Global-in-time Well-posedness of Classical Solutions to the Vacuum Free Boundary Problem for the Viscous Saint-Venant System with Large Data
Xin Zhouping, Zhang Jiawen, Zhu Shengguo
We establish the global well-posedness of classical solutions to the vacuum free boundary problem of the 1-D viscous Saint-Venant system with large data. Since the depth of th…