Research Interests:
Adaptive Methods for Singular Problems.
Numerical Methods for Micromagnetics Simulations.
Modeling and Simulations of Multi-phase Flow
Selected Publications
- Zhen Zhang, Xiao-Ping Wang and Yongli Mi, Phase field modeling and simulation of the zone melting purification process, SIAM J. Applied Math, 74, (2014), pages 1115-1135
- 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
- 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
- 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
- Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Analysis
of the Cahn-Hilliard equation with relaxation boundary condition modeling
the contact angle dynamics, Archive
for Rational Mechanics and Analysis, 213 (2014), 1-24
- 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)
- Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Effective
Contact Angle for Rough Boundary, Physica D, 242 (2013) 54-64
- Xianmin Xu and Xiao-Ping Wang, The
modified Cassie's equation and contact angle hysteresis, J. Colloid
and Polymer Science, 291(2013)299-306
- Shi Yi, Bao Kai, Wang Xiaoping, 3D adaptive
finite element method for a phase field model for moving contact line
problems, Inverse Problem and
Imaging, 7 (2013), Pages: 947 - 959
- 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.
- 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
- Min Gao and Xiao-Ping Wang, A
Gradient Stable Scheme for a Phase Field Model for the Moving
Contact Line Problem, Journal of Computational Physics, 231 (2012),
1372–1386
- 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,
- 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
- Siu-Long Lei and Xiaoping Wang, Dripping and
Jetting in Coflowing Liquid Streams, Advances in Adaptive
Data Analysis, 3 (2011), 269-290
- 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
- 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
- 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
- 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)
- 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)
- 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)
- 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
- Qiaolin He and Xiao-Ping Wang, The
effect of the boundary slip on the stability of shear Flow;ZAMM; 88, (2008) 729-734
- Xiao-Ping Wang, Tiezheng Qian and Ping Sheng, Moving
contact line on chemically patterned surfaces; Journal of Fluid
Mechanics; 605, (2008) 59-78
- 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
- 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
- Carlos J. Garcia-Cervera and Xiao-Ping Wang, Spin-Polarized
Currents in Ferromagnetic Multilayers; J. Comp. Phys.
, 224, (2007) 699-711
- 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
- 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.
- Carlos J. Garcia-Cervera and Xiao-Ping Wang, Advances in numerical micromagnetics: Spin-Polarized
Transport; Bol. Soc. Esp. Mat. Apl.; 34, (2006) 217-221.
- 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
- 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
- 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.
- 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
- Xiongping Luo, Xiao-Ping Wang, Tiezheng Qian, Ping Sheng; Moving
Contact Line Over Undulating Surfaces; Solid State
Communications, 139 (2006) 623-629
- G. Fibich, Nir Gavish and X.P. Wang; New
singular solutions of the nonlinear Schrodinger equation; Physica D, 211, (2005):193-220
- 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).
- 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.
- 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).
- 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
- Desheng Wang and Xiao-Ping Wang; Three
dimensional adaptive method based on iterative grid redistribution procedure, J. Comp. Phys. 199 ( 2004): 423-436.
- 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
- G. Fibich, Weiqing Ren and X.P. Wang, Numerical
simulations of self focusing of ultrafast laser pulses. Physical
Review E, 67, 056603 (2003)
- 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
- 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).
- T.Z. Qian, X.P. Wang and P. Sheng, Molecular scale
contact line hydrodynamics of immiscible flows. Physical Review E, 68, 016306 (2003).
- 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
- 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
- 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.
- X. Chen and X.P. Wang; Phase
transition near a liquid-gas coexistence equilibrium, SIAM J. Appl. Math. , 61 (2000), 454-471
- Weinan E and X.P. Wang; Numerical
methods for the Landau-Lifshitz equation, SIAM J. Num. Analysis,
38 (2000), 1647-1665
- 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
- 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