Research Interests:

    Adaptive Methods for Singular Problems.
    Numerical Methods for Micromagnetics Simulations.
    Phase Transition
    Self-focusing in Laser Propagations
    Nonlinear Waves
 

movies

Recent Publications

1. 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
2. Qiaolin He and Xiao-Ping Wang, The effect of the boundary slip on the stability of shear Flow; 
   ZAMM; 88, (2008) 729-734
3. Xiao-Ping Wang, Tiezheng Qian and Ping Sheng, Moving contact line on chemically patterned surfaces; 
   Journal of Fluid Mechanics;  605, (2008) 59-78
4. 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
5. 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
6. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Spin-Polarized Currents in Ferromagnetic Multilayers; 
   J. Comp. Phys. ,  224, (2007) 699-711
7. 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
8. 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.
9. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Advances in numerical micromagnetics: Spin-Polarized Transport;
   Bol. Soc. Esp. Mat. Apl.; 34, (2006) 217-221.
10. 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
11. 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
12. 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.
13. 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
14. Xiongping Luo, Xiao-Ping Wang, Tiezheng Qian, Ping Sheng;
    Moving Contact Line Over Undulating Surfaces;
    Solid State Communications, 139 (2006) 623-629
15. G. Fibich, Nir Gavish and X.P. Wang;
    New singular solutions of the nonlinear Schrodinger equation;
    Physica D,  211, (2005):193-220
16. 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).
17. 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.
18. 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).
19. 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
20. Desheng Wang and Xiao-Ping Wang;
    Three dimensional adaptive method based on iterative grid redistribution procedure,
    J. Comp. Phys.  199 ( 2004): 423-436.
21. 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
22. G. Fibich, Weiqing Ren and X.P. Wang,
    Numerical simulations of self focusing of ultrafast laser pulses.
    Physical Review E,  67, 056603 (2003)
23. T.Z. Qian, X.P. Wang and P. Sheng,
    On generalized Navier boundary condition for moving contact line.
    Comm. Math. Sci.  2, (2003), 333 - 341
24.  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).
25.  T.Z. Qian, X.P. Wang and P. Sheng,
    Molecular scale contact line hydrodynamics of immiscible flows.
    Physical Review E,  68, 016306 (2003).
26.  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
27. 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
28. 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.
29. X. Chen and X.P. Wang;
    Phase transition near a liquid-gas coexistence equilibrium,
    SIAM J. Appl. Math. ,  61 (2000), 454-471
30. Weinan E and X.P. Wang; 
    Numerical methods for the Landau-Lifshitz equation,
    SIAM J. Num. Analysis, 38 (2000), 1647-1665
31. 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