Research Interests:

    Adaptive Methods for Singular Problems.
    Numerical Methods for Micromagnetics Simulations.
    Modeling and Simulations of Multi-phase Flow

Selected Publications

  1. Zhen Zhang, Xiao-Ping Wang and  Yongli Mi,  Phase field modeling and simulation of the zone melting purification processSIAM J. Applied Math,  74, (2014), pages 1115-1135
  2. Min Gao and Xiao-Ping Wang, An efficient Scheme for a Phase Field Model for the Moving Contact Line Problem with Variable Density and Viscosity, Journal of Computational Physics, 272 (2014), 704-718
  3. Jie Chen,  Shuyu Sun and Xiao-Ping Wang, A numerical method for a model of two-phase flow in a coupled free flow and porous media system, Journal of Computational Physics, 268 (2014), 1-16
  4. Huangxin Chen and Xiao-Ping Wang,  A One-Domain Approach for Modeling and Simulation of  Free Fluid Over a Porous Medium, Journal of Computational Physics, 259, (2014), Pages 650-671
  5. Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Analysis of the Cahn-Hilliard equation with relaxation boundary condition modeling the contact angle dynamicsArchive for Rational Mechanics and Analysis, 213 (2014), 1-24
  6. Shuo Guo, Min Gao, Xiaomin Xiong, Yong Jian Wang, Xiaoping Wang, Ping Sheng and Penger Tong, Direct measurement of friction of a fluctuating contact line, Physical Review Letters, 111, 026101 (2013)
  7. Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Effective Contact Angle for Rough BoundaryPhysica D, 242 (2013) 54-64
  8. Xianmin Xu and Xiao-Ping Wang, The modified Cassie's equation and contact angle hysteresis, J. Colloid and Polymer Science, 291(2013)299-306
  9. Shi Yi, Bao Kai,  Wang Xiaoping, 3D adaptive finite element method for a phase field model for moving contact line problemsInverse Problem and Imaging, 7 (2013),  Pages: 947 - 959
  10. Bao Kai, Shi Yi, Sun Shuyu, Wang Xiaoping, A Finite Element Method for the Numerical Solution of the Coupled Cahn-Hilliard and Navier-Stokes System for Moving Contact Line Problems, Journal of Computational Physics, 231 (2012) 8083–8099.
  11. Zhen Zhang,  Xueyun Zhang,  Xiaojin He,  Xiaoping Wang and  Yongli Mi, Purification of phosphorus by a zero pollution zone melting technique, Separation and Purification Technology, 98, (2012), Pages 249-254
  12. Min Gao and Xiao-Ping Wang, A Gradient Stable  Scheme for a Phase Field Model for the Moving Contact Line Problem, Journal of Computational Physics231 (2012), 1372–1386
  13. Jie Liao and Xiao-Ping Wang, Stability of An Efficient Navier-Stokes Solver with Navier Boundary Conditions, Discrete and Continuous Dynamical Systems (B), 17 (2012), 153 - 171,
  14. Xianmin Xu and Xiaoping Wang, Analysis of wetting and contact angle hysteresis on chemically patterned surfaces, SIAM Journal Applied Math,  71 (2011) , No. 5, pp. 1753-1779
  15. Siu-Long Lei and Xiaoping Wang, Dripping and Jetting in Coflowing Liquid Streams,   Advances in Adaptive Data Analysis, 3  (2011), 269-290
  16. Qiaolin He, Roland Glowinski and Xiao-Ping Wang, A Least-Squares/Finite Element Method for the Numerical Solution of the Navier-Stokes-Cahn-Hilliard System Modeling the Motion of the Contact Line, Journal of Computational Physics, 230  (2011), 4991-5009
  17. Xianmin Xu and Xiaoping Wang, Derivation of Wenzel's and Cassie's equations froma phase fieeld model for two phase flow on rough surface,  SIAM J. Appl. Math, 70 (2010), 2929-2941
  18. Lei Yang and XP Wang; Dynamics of domain wall in thin film driven by spin current, Discrete and Continuous Dynamical Systems (B),  14,  (2010), 1251 1263
  19. Xiao-Ping Wang,  Yaguang Wang and Zhouping Xin,  Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit, Comm. Math. Sci, 8,  965-998 (2010)
  20. C. Wu, S. Lei, TZ Qian and XP Wang;  Stick-Slip motion of moving contact line on chemically patterned surfaces;   Comm. Compt. Phys, 7, No. 3 403-422 (2010)
  21. Qiaolin He and Xiao-Ping Wang, Numerical study of the effect of Navier slip on the driven cavity flow;  Z. Angew. Math. Mech. 89, No. 10, 857 – 868 (2009)
  22. Yana Di and Xiao-Ping Wang, Precursor simulations in spreading using a multi-mesh adaptive finite element method; Journal of Computational Physics;  228, (2009) 1380-1390
  23. Qiaolin He and Xiao-Ping Wang, The effect of the boundary slip on the stability of shear Flow;ZAMM; 88, (2008) 729-734
  24. Xiao-Ping Wang, Tiezheng Qian and Ping Sheng, Moving contact line on chemically patterned surfaces;  Journal of Fluid Mechanics;  605, (2008) 59-78
  25. Xiao-Ping Wang and Yaguang Wang, The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem;  Methods and Applications of Analysis;  14, (2007) 287-294
  26. G. Fibich, Nir Gavish and X.P. Wang;  Singular ring solutions of critical and supercritical nonlinear Schr\"odinger equations; Physica D 231, (2007) 55-86
  27. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Spin-Polarized Currents in Ferromagnetic Multilayers;   J. Comp. Phys. ,  224, (2007) 699-711
  28. Carlos J. Garcia-Cervera and Xiao-Ping Wang, Spin-Polarized Transport: Existence of Weak Solutions; Discrete and Continuous Dynamical Systems (B) ,  7, (2007) 87-100
  29. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng, A variational approach to the moving contact line hydrodynamics;  Journal of Fluid Mechanics; 564, (2006) 333-360.
  30. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Advances in numerical micromagnetics: Spin-Polarized Transport; Bol. Soc. Esp. Mat. Apl.; 34, (2006) 217-221.
  31. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng,  Molecular hydrodynamics of the moving contact line in two phase immiscible flows; Communications in Computational Physics;  1, (2006):1-52
  32. Xiao-Ping Wang, Ke Wang and Weinan E; Simulations of 3-d domain wall structures in thin films, Discrete and Continuous Dynamical Systems B;  6, (2006):373-390
  33. Yue Liu and Xiao-Ping Wang, Ke Wang; Instability of solitary waves of the Schrodinger equation with inhomogeneous nonlinearity Transactions of the AMS, 358  (2006) 2105-2122.
  34. Xiao-Ping Wang, Sufeng. Zhao and Xiufeng Han;  Micro-magnetic simulations of demagnetization curves for single phase nanocrystalline PrFeB magnet, Journal of Computational and Applied Mathematics,  190, (2006) 142-150
  35. Xiongping Luo, Xiao-Ping Wang, Tiezheng Qian, Ping Sheng; Moving Contact Line Over Undulating Surfaces;  Solid State Communications, 139 (2006) 623-629
  36. G. Fibich, Nir Gavish and X.P. Wang; New singular solutions of the nonlinear Schrodinger equation; Physica D,  211, (2005):193-220
  37. Ran An, Xiao-Ping Wang, and Lei Zhou; Spin dynamics studies of the field-induced phase transition for the spiral antiferromagnet Ba2CuGe2O7;  Physical Review B, 72, 214422 (2005).
  38. Tie-Zheng Qian and Xiao-Ping Wang,  Driven cavity flow: from molecular dynamics to continuum hydrodynamics,  SIAM J. on Multiscale Modeling and Simulation, 3 ( 2005): 749-763.
  39. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng, Hydrodynamic slip boundary condition at chemically patterned surfaces: A continuum deduction from molecular dynamics,  Phys. Rev. E, 72, 022501 (2005).
  40. Tiezheng Qian, Xiao-Ping Wang and Ping Sheng, Power-Law slip profile of the moving contact line in two phase immiscible flows Phys. Rev. Lett, 63, 094501, 2004
  41. Desheng Wang and Xiao-Ping Wang; Three dimensional adaptive method based on iterative grid redistribution procedure, J. Comp. Phys.  199 ( 2004): 423-436.
  42. G. Fibich and X.P. Wang, Stability of bound states for the nonlinear Schr\"odinger equations with inhomogeneous nonlinearities, Phys. D, 175 (2003), no. 1-2, 96-108
  43. G. Fibich, Weiqing Ren and X.P. Wang, Numerical simulations of self focusing of ultrafast laser pulses. Physical Review E,  67, 056603 (2003)
  44. T.Z. Qian, X.P. Wang and P. Sheng, Generalized Navier boundary condition for the  moving contact line. Comm. Math. Sci.  1, (2003), 333 - 341
  45. D. Laveder, T. Passot, C. Sulem, P.L. Sulem, D. Wang, and X.P. Wang, Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling; Physica D, 184, 237-258 (2003).
  46.  T.Z. Qian, X.P. Wang and P. Sheng, Molecular scale contact line hydrodynamics of immiscible flows. Physical Review E,  68, 016306 (2003).
  47.  P. Fife and X.P. Wang; Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams, European J Appl. Math, 13, (2002), 25-52
  48. W. Ren and X.P. Wang;  An new adaptive grid method based on iterative grid redistribution;  Methods Appl. Anal.  8 (2001), no. 4, 515-527
  49. X.P. Wang, Carlos J. Garcia-Cervera and Weinan E; A Gauss-Seidel Projection Method for Micromagnetics Simulations; J. Comp. Phys. , 171 (2001), 357 - 372.
  50. X. Chen and X.P. Wang; Phase transition near a liquid-gas coexistence equilibrium,  SIAM J. Appl. Math. ,  61 (2000), 454-471
  51. Weinan E and X.P. Wang;  Numerical methods for the Landau-Lifshitz equation, SIAM J. Num. Analysis, 38 (2000), 1647-1665
  52. W. Ren and X.P. Wang; An iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions, Journal of Computational Physics, 159 (2000), 246-273
  53. MJ Landman, GC Papanicolaou, C Sulem, PL Sulem, XP Wang, Stability of isotropic singularities for the nonlinear Schrodinger equation, Physica D: Nonlinear Phenomena 47 (1991) 393-415