Zhouping Xin

1. Global Well-Posedness of Classical Solutions with Large Oscillations and Vacuum to the Three-Dimensional Isentropic Compressible Navier-Stokes Equations
   2010/04/27 by Xiangdi Huang, Huang, Xiangdi, Jing Li +3 · 9 citations
   Engineering · Mathematics · #35Q30 #76N10 #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
2. Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities
   2015/04/26 by Jing Li, Zhouping Xin, Li, Jing +1 · 8 citations
   Engineering · Mathematics · #35B65 #35Q35 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
3. Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle
   2019/08/05 by Shangkun Weng, Chunjing Xie, Weng, Shangkun +3 · 3 citations
   Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
4. Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws
   2019/02/26 by Zhouping Xin, Xin, Zhouping, Yuan Qian +3 · 2 citations
   Mathematics · #35L67(Primary) 35L65 76L05 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
5. Existence and stability of cylindrical transonic shock solutions under three dimensional perturbations
   2023/04/05 by Shangkun Weng, Weng, Shangkun, Zhouping Xin +1 · 2 citations
   Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Nonlinear Waves and Solitons
6. Global classical solutions to the two-dimensional compressible Navier-Stokes equations in ℝ²
   2012/09/02 by Quansen Jiu, Yi Wang, Jiu, Quansen +3 · 1 citation
   Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
7. Finite time blowup of strong solutions to the two dimensional MHD equations
   2024/09/05 by Xiangdi Huang, Zhouping Xin, Huang, Xiangdi +3 · 2 citations
   Mathematics · #35Q30 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
8. Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces
   2012/07/25 by Quansen Jiu, Yi Wang, Jiu, Quansen +3 · 1 citation
   Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
9. Enhanced stability and asymptotic limits to the non-isentropic compressible fluid-particle interaction model with thermal effects
   2026/07/19 by Fucai Li, Jinkai Ni, Zhouping Xin
   #math.AP