Department of Mathematics, HKUST  

  WANG, Xiao-Ping   王筱平

  PhD New York

  Head / Chair Professor

Office: Room 3462  

Telephone: 7412  

Email: mawang@ust.hk  

Home Page:
https://www.math.ust.hk/~mawang  

Prof. Wang received his BSc Degree in mathematics from Beijing University in 1984 and his PhD Degree in mathematics from Courant Institute (NYU) in 1990. He was a postdoctoral at MSRI in Berkeley, University of Colorado in Boulder, and a visiting scholar at Princeton University before he came to HKUST.

Teaching

  • MATH6912J  Reading Course: Numerical Methods for Fluid-solid Heat Transfer Problems

Research Interests

  • Applied and computational mathematics; nonlinear partial differential equations

Awards & Honors

  • Invited Speaker for ICIAM 2019  (2017)
  • Feng Kang Prize of Scientific Computing by the Chinese Academy of Sciences  (2007)

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. A Lattice Boltzmann Model for Multiphase Flows with Moving Contact Line and Variable Density  (2018)
    • Journal of Computational Physics. , v. 353, January 2018, p. 26-45

  2. An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT  (2018)
    • Journal of Scientific Computing. , v. 74, (1), January 2018, p. 474-490

  3. Boundary layer fluctuations in turbulent Rayleigh–Bénard convection  (2018)
    • Journal of Fluid Mechanics. , v. 840, 10 Apr 2018, p. 408-431

  4. A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition  (2018)
    • Journal of Computational Physics. , v. 366, August 2018, p. 281-297

  5. A Dynamic Theory for Contact Angle Hysteresis on Chemically Rough Boundary  (2017)
    • Discrete and Continuous Dynamical Systems- Series A. , v. 37, (2), February 2017, p. 1061-1073

  6. Numerical Simulation of 2D Unsteady Shear-Thinning Non-Newtonian Incompressible Fluid in Screw Extruder with Fictitious Domain Method  (2017)
    • Computers and Mathematics with Applications. , v. 73, (1), January 2017, p. 109-121

  7. An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces  (2017)
    • Journal of Computational Physics. , v. 330, February 2017, p. 510-528

  8. An efficient finite element method for simulation of droplet spreading on a topologically rough surface  (2017)
    • Journal of Computational Physics. , v349, 2017, p. 233-252

  9. A Fast Huygens Sweeping Method for Capturing Paraxial Multi-color Optical Self-focusing in Nematic Liquid Crystals  (2017)
    • Journal of Computational Physics. , v. 348, November 2017, p. 108-138

  10. The Dynamics of Three-phase Triple Junction and Contact Points  (2017)
    • SIAM Journal on Applied Mathematics. , v. 77, (5), October 2017, p. 1805-1826

  11. An Efficient Iterative Thresholding Method for Image Segmentation  (2017)
    • Journal of Computational Physics, v. v. 350, 2017, p. 657-667

  12. A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains  (2017)
    • Journal of Scientific Computing. , v. 72, (3), September 2017, p. 1119-1145

  13. A Numerical Study of Three-dimensional Droplets Spreading on Chemically Patterned Surfaces  (2016)
    • Discrete and Continuous Dynamical Systems - Series B. , v. 21, (8), October 2016, p. 2905-2926

  14. Phase field simulation of a droplet impacting a solid surface  (2016)
    • Physics of Fluids. , v. 28, (2), February 2016, article number 022103

  15. Phase field modeling and simulation of three-phase flow on solid surfaces  (2016)
    • Journal of Computational Physics. , v. 319, August 2016, p. 79-107

  16. Phase field simulation of drop formation in a coflowing fluid  (2015)
    • International Journal of Numerical Analysis and Modeling. , v. 12, (2), 2015, p. 268-285

  17. A note on 'spin-polarized transport: Existence of weak solutions'  (2015)
    • Discrete and Continuous Dynamical Systems - Series B (DCDS-B). , v. 20, (8), October 2015, p. 2761-2763

  18. A one-domain approach for modeling and simulation of free fluid over a porous medium  (2014)
    • Journal of Computational Physics. , v. 259, February 2014, p. 650-671

  19. An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity  (2014)
    • Journal of Computational Physics. , v. 272, September 2014, p. 704-718

  20. A numerical method for a model of two-phase flow in a coupled free flow and porous media system  (2014)
    • Journal of Computational Physics. , v. 268, July 2014, p. 1-16

  21. Analysis of the Cahn-Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics  (2014)
    • Archive for Rational Mechanics and Analysis. , v. 213, (1), 2014, p. 1-24

  22. Asymptotic stability of periodic solution for compressible viscous van der Waals fluids  (2014)
    • Acta Mathematicae Applicatae Sinica. , v. 30, (4), November 2014, p. 1113-1120

  23. Non-Darcy behavior of two-phase channel flow  (2014)
    • Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. , v. 90, (2), August 2014, article number 023010

  24. PHASE-FIELD MODELING AND SIMULATION OF THE ZONE MELTING PURIFICATION PROCESS  (2014)
    • SIAM Journal on Applied Mathematics. , v. 74, (4), 2014, p. 1115-1135

  25. Modeling and simulation of dynamics of three-component flows on solid surface  (2014)
    • Japan Journal of Industrial and Applied Mathematics. , v. 31, (3), November 2014, p. 611-631

  26. Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes  (2014)
    • Computers and Mathematics with Applications. , v. 68, (12), December 2014, p. 1905-1914

  27. Monosaccharide-functionalized poly-(phenylacetylenes): in situ polymerization, hybridization with MWCNTs, and application in the reinforcement of chitosan rods  (2014)
    • Polymer Chemistry. , v. 5, (21), October 2014, p. 6216-6224

  28. Effective contact angle for rough boundary  (2013)
    • Physica D: Nonlinear Phenomena. , v. 242, (1), January 2013, p. 54-64

  29. The modified Cassie's equation and contact angle hysteresis  (2013)
    • Colloid and Polymer Science. , v. 291, (2), February 2013, p. 299-306

  30. 3D Adaptive Finite Element Method for a Phase Field Model for the Moving Contact Line Problems  (2013)
    • Inverse Problems and Imaging. , v. 7, (3), August 2013, p. 947-959

  31. Direct measurement of friction of a fluctuating contact line  (2013)
    • Physical Review Letters. , v. 111, (2), July 2013, article number 026101

  32. A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems  (2012)
    • Journal of computational physics. , v. 231, (24), October 2012, p. 8083-8099

  33. A gradient stable scheme for a phase field model for the moving contact line problem  (2012)
    • Journal of computational physics. , v. 231, (4), 2012, p. 1372-1386

  34. Purification of phosphorus by a zero pollution zone melting technique  (2012)
    • Separation and purification technology. , v. 98, September 2012, p. 249-254

  35. Stability of an efficient Navier-Stokes solver with Navier boundary condition  (2012)
    • Discrete and continuous dynamical systems. Series B. , v. 17, (1), 2012, p. 153-171

  36. A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line  (2011)
    • Journal of computational physics. , v. 230, (12), June 2011, p. 4991-5009

  37. Analysis of wetting and contact angle hysteresis on chemically patterned surfaces  (2011)
    • SIAM journal on applied mathematics. , v. 71, (5), 2011, p. 1753-1779

  38. Stick-Slip Motion of Moving Contact Line on Chemically Patterned Surfaces  (2010)
    • Communications in computational physics. , v. 7, (3), 2010, MAR, p. 403-422

  39. Boundary layers in incompressible Navier-stokes equations with navier boundary conditions for the vanishing viscosity limit  (2010)
    • Communications in Mathematical Sciences. , v. 8, (4), 2010, p. 965-998

  40. Dynamics of domain wall in thin film driven by spin current  (2010)
    • DISCRETE and continuous DYNAMICAL systems-series B. , v. 14, (3), 2010, OCT, p. 1251-1263

  41. DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE  (2010)
    • SIAM journal on applied mathematics. , v. 70, (8), 2010, p. 2929-2941

  42. Hydrodynamic boundary conditions: An emergent behavior of fluid-solid interactions  (2010)
    • Solid state communications. , v. 150, (21-22, Sp. Iss. SI), June 2010, p. 976-989

  43. Numerical study of the effect of Navier slip on the driven cavity flow  (2009)
    • Zamm-zeitschrift FUR ANGEWANDTE MATHEMATIK UND Mechanik. , v. 89, (10), 2009, OCT, p. 857-868

  44. Precursor simulations in spreading using a multi-mesh adaptive finite element method  (2009)
    • Journal of computational physics. , v. 228, (5), 2009, MAR 20, p. 1380-1390

  45. Modeling and simulations for molecular scale hydrodynamics of the moving contact line in immiscible two-phase flows  (2009)
    • Journal OF physics-condensed MATTER. , v. 21, (46), October 2009

  46. The effect of the boundary slip on the stability of shear flow  (2008)
    • Zamm-zeitschrift FUR ANGEWANDTE MATHEMATIK UND Mechanik. , v. 88, (9), 2008, SEP, p. 729-734

  47. The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem  (2008)
    • Methods and Applications of Analysis. , v. 14, (3), 2007, p. 287-294

  48. Moving Contact Line on Chemically Patterned Surfaces  (2008)
    • Journal of Fluid Mechanics. , v. 605, June 2008, p. 59-78

  49. Spin-polarized transport: Existence of weak solutions  (2007)
    • DISCRETE and continuous DYNAMICAL systems-series B. , v. 7, (1), 2007, JAN, p. 87-100

  50. Singular ring solutions of critical and supercritical nonlinear Schrodinger equations  (2007)
    • PHYSICA d-nonlinear PHENOMENA. , v. 231, (1), 2007, JUL 1, p. 55-86

  51. Spin-polarized currents in ferromagnetic multilayers  (2007)
    • Journal of computational physics. , v. 224, (2), 2007, JUN 10, p. 699-711

  52. Hydrodynamic Boundary Condition at the Fluid-solid Interface  (2007)
    • International Journal of Modern Physics B. , v. 21, (23-24), September 2007, p. 4131-4143

  53. Instability of standing waves of the Schrodinger equation with inhomogeneous nonlinearity  (2006)
    • Transactions of the American Mathematical Society. , v. 358, (5), 2006, p. 2105-2122

  54. Micromagnetic simulations of demagnetization curves for single-phase nanocrystalline PrFeB magnet  (2006)
    • Journal of computational and applied mathematics. , v. 190, (1-2), 2006, JUN 1, p. 142-150

  55. Moving contact line over undulating surfaces  (2006)
    • Solid state communications. , v. 139, (11-12), 2006, p. 623-629

  56. Simulations of 3-D domain wall structures in thin films  (2006)
    • DISCRETE and continuous DYNAMICAL systems-series B. , v. 6, (2), 2006, MAR, p. 373-389

  57. Advances in numerical micromagnetics: Spin-Polarized Transport  (2006)
    • Bol. Soc. Esp. Mat. Apl.;. , 34, (2006) 217-221.

  58. A Variational Approach to Moving Contact Line Hydrodynamics  (2006)
    • Journal of Fluid Mechanics. , v. 564, October 2006, p. 333-360

  59. Molecular Hydrodynamics of the Moving Contact Line in Two-phase Immiscible Flows  (2006)
    • Communications in Computational Physics. , v. 1, (1), February 2006 , p. 1-52

  60. New singular solutions of the nonlinear Schrodinger equation  (2005)
    • PHYSICA d-nonlinear PHENOMENA. , v. 211, (3-4), 2005, NOV 15, p. 193-220

  61. Driven cavity flow: From molecular dynamics to continuum hydrodynamics  (2005)
    • Multiscale modeling & simulation. , v. 3, (4), 2005, p. 749-763

  62. Spin-dynamics simulation study of the field-induced phase transition for the spiral antiferromagnet Ba2CuGe2O7  (2005)
    • Physical Review B. , v. 72, (21), December 2005

  63. Hydrodynamic Slip Boundary Condition at Chemically Patterned Surfaces: A Continuum Deduction from Molecular Dynamics  (2005)
    • Physical Review E. , v. 72, (2), August 2005, Article number 022501

  64. A three-dimensional adaptive method based on the iterative grid redistribution  (2004)
    • Journal of computational physics. , v. 199, (2), 2004, SEP 20, p. 423-436

  65. Power-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows  (2004)
    • Physical Review Letters. , v. 93, (9), August 2004, Article number 094501

  66. Stability of solitary waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities  (2003)
    • PHYSICA d-nonlinear PHENOMENA. , v. 175, (1-2), 2003, JAN 15, p. 96-108

  67. Numerical simulations of self-focusing of ultrafast laser pulses  (2003)
    • Physical Review E. , v. 67, (5), May 2003

  68. Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling  (2003)
    • PHYSICA d-nonlinear PHENOMENA. , v. 184, (1-4), 2003, OCT 1, p. 237-258

  69. Stability of bound states for the nonlinear Schrodinger equations with inhomogeneous nonlinearities  (2003)
    • Physica D. , 175, No. 1-2, 96-108

  70. Molecular Scale Contact Line Hydrodynamics of Immiscible Flows  (2003)
    • Physical Review E. , v. 68, (1), July 2003, Article number 016306

  71. Generalized Navier boundary condition for the moving contact line  (2003)
    • Communications in Mathematical Sciences. , v. 1, (2), 2003, p. 333-341

  72. Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams  (2002)
    • European journal of applied mathematics. , v. 13, (Part 1), 2002, FEB, p. 25-52

  73. Invalidation of the slowly-varying envelope approximation and producing and eliminating of the spatial singularity for ultrashort pulsed-beam propagation in free space  (2001)
    • Acta physica Sinica. , v. 50, (9), 2001, SEP, p. 1693-1698

  74. A Gauss-Seidel projection method for micromagnetics simulations  (2001)
    • Journal of computational physics. , v. 171, (1), 2001, JUL 20, p. 357-372

  75. An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions  (2000)
    • Journal of Computational Physics. , v. 159, (2), 2000, APR 10, p. 246-273

  76. Phase transition near a liquid-gas coexistence equilibrium  (2000)
    • SIAM journal on applied mathematics. , v. 61, (2), 2000, AUG 10, p. 454-471

  77. Numerical methods for the Landau-Lifshitz equation  (2000)
    • SIAM journal on numerical analysis. , v. 38, (5), 2000, DEC 14, p. 1647-1665

  78. The global attractor of a dissipative nonlinear evolution system  (1999)
    • Journal of mathematical analysis and applications. , v. 238, (1), 1999, OCT 1, p. 124-142

  79. Transport equations for a general class of evolution equations with random perturbations  (1999)
    • Journal of mathematical physics. , v. 40, (10), 1999, OCT, p. 4828-4858

  80. Periodic structures in a van der Waals fluid  (1998)
    • PROCEEDINGS OF The Royal Society OF Edinburgh Section a-mathematics. , v. 128, (Part 2), 1998, p. 235-250

  81. On the existence of nontrivial solutions for a scalar "light-nematic" system and its Frederiks transition threshold  (1998)
    • SIAM journal on applied mathematics. , v. 58, (6), 1998, DEC, p. 1852-1861

  82. Dissipative nonlinear evolution equations and chaos  (1998)
    • Studies in Applied Mathematics. , v. 101, (3), 1998, p. 233-266

  83. Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation  (1997)
    • Communications in Mathematical Physics. , v. 183, (2), 1997, JAN, p. 253-266

  84. Phase transition in van der Waals fluid  (1997)
    • SIAM journal on applied mathematics. , v. 57, (4), 1997, AUG, p. 871-892

  85. Initial time layers and Kadomtsev-Petviashvili-type equations  (1997)
    • Studies in applied mathematics. , v. 98, (2), 1997, FEB, p. 121-137

  86. On hydrodynamic instabilities, chaos and phase transition  (1996)
    • Acta Mechanica Sinica. , v. 12, (1), 1996, p. 1-14

  87. On hydrodynamic instabilities, chaos and phase transition  (1996)
    • Proceedings of the Chinese Society of Electrical Engineering. , v. 16, (1), 1996, p. 1-14

  88. A PARAXIAL MODEL FOR OPTICAL SELF-FOCUSING IN A NEMATIC LIQUID-CRYSTAL  (1995)
    • PHYSICA D. , v. 88, (1), 1995, NOV 1, p. 55-81

  89. Wave collapse and instability of solitary waves of a generalized nonlinear Kadomtsev-Petviashvili equation  (1994)
    • Physica D. , v. 78, 1994, p. 241-265

  90. Focusing singularities of Davey-Stewartson equations for gravity capillary waves  (1994)
    • Physica D. , v. 72, 1994, p. 61-86

  91. Stability of Isotropic self-similar dynamics for scalar wave collapse  (1992)
    • Phys. Rev. A. , v. 46, 1992, p. 7869-7876

  92. Dynamic rescaling for tracking point singularities: application to Nonlinear Schrodinger Equation and related problems  (1992)
    • Singularities in Fluids, Plasmas and Optics. , v. 404, 1992, p. 265-279

  93. Stability of Isotropic Singularities for the Nonlinear Schrodinger Equation  (1991)
    • Physica D. , v. 47, 1991, p. 393-415

  94. Singular solutions of the Zakharov equations for Langmuir turbulence  (1991)
    • Physics Fluids B. , v. 3, 1991, p. 969-980

Conference paper   

  1. A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D  (2017)
    • Domain Decomposition Methods in Science and Engineering XXIII. , Editors: Chang-Ock Lee, Xiao-Chuan Cai, David E. Keyes, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Olof B. Widlund. Cham : Springer International Publishing AG, 2017, p. 379-387, Part of the

  2. Dripping and jetting in coflowing liquid streams  (2011)
    • Advances in Adaptive Data Analysis. , v. 3, (1-2), 2011, p. 269-290

  3. Boundary layers of incompressible Fluids with Navier Boundary Conditions  (2008)
    • ICCM 2007. , Hanzhou, Dec. 17-23, 2007

  4. Numerical simulations of self focusing of ultrafast laser pulses  (2005)
    • IQEC, International Quantum Electronics Conference Proceedings. , v. 2005, 2005, p. 1709-1710

  5. Slip Profile in Contact-line Motion  (2003)
    • Proceeding of the 2003 17th National Conference on Hydrodynamics and the 6th National Congress on Hydrodynamics. , 2003, p. 259-268

Book chapter   

  1. Numerical Simulations of Singular Solutions of the Nonlinear Schrodinger Equations  (2008)
    • Effective Computational Methods for Wave Propagation. , / Edited by Nikolaos A. Kampanis, Vassilios A. Dougalis, John A. Ekaterinaris. Boca Raton: Chapman & Hall/CRC, c2008, p.7-35

  2. Continuum Modelling of Nanoscale Hydrodynamics  (2008)
    • Nanoscale Phenomena: Basic Science to Device Applications. , / Edited by Zikang Tang and Ping Sheng. New York, NY: Springer Science+Business Media, LLC, c2008, p.99-116

Other   

  1. Special Issue Nanoscale Interfacial Phenomena in Complex Fluids - Foreword  (2010)
    • Solid State Communications. , v. 150, no. 21-22, Special Issue: SI, p. 967-1039