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Xin, Zhouping

  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, Jing Li, Huang, Xiangdi +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. Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
    2012/02/07 by Jiu, Quansen, Wang, Yi, Xin, Zhouping · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  4. On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure
    2019/08/07 by Fang, Beixiang, Xin, Zhouping · 3 citations
    #35A01 #35A02 #35B20 #35B35 #35B65 #35J56 #35L65 #35L67 #35M30 #35M32 #35Q31 #35R35 #76L05 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle
    2019/08/05 by Shangkun Weng, Weng, Shangkun, Chunjing Xie +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
  6. On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem
    2015/06/12 by Luo, Tao, Xin, Zhouping, Zeng, Huihui · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes Equations with degenerate viscosities and vacuum
    2018/06/06 by Xin, Zhouping, Zhu, Shengguo · 1 citation
    #35A05 #35B35 #35B40 #35L65 #76Y05 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Well-posedness of three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum
    2018/11/12 by Xin, Zhouping, Zhu, Shengguo · 1 citation
    #35A01 #35A09 #35B40 #35B65 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws
    2018/09/25 by Xin, Zhouping, Yuan, Qian, Yuan, Yuan · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. 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
  11. On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
    2022/04/11 by Ding, Bingbing, Xin, Zhouping, Yin, Huicheng · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Global Well-posedness and Regularity of Weak Solutions to the Prandtl's System
    2022/03/16 by Xin, Zhouping, Zhang, Liqun, Zhao, Junning · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. 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
  14. Global classical solutions to the two-dimensional compressible Navier-Stokes equations in ℝ2
    2012/09/02 by Quansen Jiu, Jiu, Quansen, Yi Wang +3 · 1 citation
    Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
  15. 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
  16. 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
  17. Nonlinear asymptotic stability of compressible vortex sheets with viscosity effects
    2023/08/11 by Huang, Feimin, Xin, Zhouping, Xu, Lingda +1 · 1 citation
    #35B35 #76E05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35Q30
  18. Local Well-posedness of the Incompressible Current-Vortex Sheet Problems
    2023/09/07 by Liu, Sicheng, Xin, Zhouping · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics