*Chair Professor Chair *
Department of Mathematics

Dr. Wang received his Ph.D. in Applied Mathematics from Indiana University - Bloomington in 1996. He was a postdoctoral fellow / Courant Instructor at the Courant Institute from 1996 to 1998. Dr. Wang joined Iowa State University in 1998 where he was promoted to Associate Professor with Tenure in 2001. He moved to Florida State University in 2003 where he was promoted to Full Professor in 2006. During his tenure at FSU, Dr. Wang served as the Chair of the Math Department from 2012 to 2017 and the Director of Applied and Computational Mathematics from 2009 to 2012.

He returned to his motherland in 2017 as a Distinguish Professor at Fudan University. Dr. Wang is currently a Chair Professor of Mathematics and Chair of the Department of Mathematics at SUSTech. He also holds the title of Distinguished SUSTech Scholar.

Dr. Wang's current research focuses on modern applied and computational mathematics, especially mathematical problems related to fluid dynamics, groundwater research, geophysical fluid dynamics and turbulence, and big data and machine learning. He develops and utilizes tools from Partial Differential Equations, Dynamical Systems, Stochastic Analysis, Numerical Analysis and Scientific Computing in his research. A distinctive feature of his work is the combination of rigorous mathematics with genuine physical applications. He has published over 80 papers in premium journals such as CPAM and a research monograph via Cambridge University Press.

### Personal Profile

**Personal Profile**

Dr. Wang received his Ph.D. in Applied Mathematics from Indiana University - Bloomington in 1996. He was a postdoctoral fellow / Courant Instructor at the Courant Institute from 1996 to 1998. Dr. Wang joined Iowa State University in 1998 where he was promoted to Associate Professor with Tenure in 2001. He moved to Florida State University in 2003 where he was promoted to Full Professor in 2006. During his tenure at FSU, Dr. Wang served as the Chair of the Math Department from 2012 to 2017 and the Director of Applied and Computational Mathematics from 2009 to 2012.

He returned to his motherland in 2017 as a Distinguish Professor at Fudan University. Dr. Wang is currently a Chair Professor of Mathematics and Chair of the Department of Mathematics at SUSTech. He also holds the title of Distinguished SUSTech Scholar.

Dr. Wang's current research focuses on modern applied and computational mathematics, especially mathematical problems related to fluid dynamics, groundwater research, geophysical fluid dynamics and turbulence, and big data and machine learning. He develops and utilizes tools from Partial Differential Equations, Dynamical Systems, Stochastic Analysis, Numerical Analysis and Scientific Computing in his research. A distinctive feature of his work is the combination of rigorous mathematics with genuine physical applications. He has published over 80 papers in premium journals such as CPAM and a research monograph via Cambridge University Press.

**Selected Publications**

1. A Remark on the Characterization of the Gradient of Distributions, Applicable Analysis, Vol 51, 1993, 35-40.

2. An Energy Equation for Weakly Damped Driven Nonlinear Schrödinger Equations and Its Application to Their Attractors, Physica D 88 (1995) 167-175.

3. Upper Bound on the Dimension of the Attractor for the Nonhomogeneous Navier-Stokes Equations, Alain Miranville and Xiaoming Wang, Discrete and Continuous Dynamical Systems Vol 2, No. 1, 1996, pp. 95-110.

4. Time Averaged Energy Dissipation Rate of Boundary Driven Flows, Physica D 99 (1997) 555-563.

5. Attractors for Non-autonomous Non-homogeneous Navier-Stokes Equations, Alain Miranville and Xiaoming Wang, Nonlinearity 10 (1997) 1047-1061.

6. Attractors for Non-Compact Semigroups via Energy Equations, Ioana Moise, Ricardo Rosa and Xiaoming Wang, Nonlinearity, 11, 1998, 1369-1393.

7. Attractor Dimension Estimates for Two-dimensional Shear Flows, Charles Doering and Xiaoming Wang, Physica D, 123 (1998) 206-222.

8. On the Behavior of the Solutions of Navier-Stokes Equations at Vanishing Viscosity, Roger Témam and Xiaoming Wang, Annali della Scuola Normale Superiore di Pisa, vol. XXV, pp. 807-828, 1998.

9. Effect of tangential derivatives in the boundary layer on the energy dissipation rate, Physica D, 144(2000) 142-153.

10. A Kato type theorem on zero viscosity limit of Navier-Stokes flows, Xiaoming Wang, Indiana Univ. Math. Jour., Vol.50, No.1 (2001), 223-241.

11. Boundary Layer Associated with the Incompressible NavierStokes Equations: the non-characteristic boundary case, Roger Témam and Xiaoming Wang, J. Diff. Eqs., Vol.179, (2002), 647-686.

12. Infinite Prandtl number limit of Rayleigh-B´enard convection, Xiaoming Wang, Communications on Pure and Applied Mathematics Volume 57, Issue 10 (p 1265-1282), 2004.

13. Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography, Andrew Majda and Xiaoming Wang, Communications in Partial Differential Equations, Volume 30, Number 9, 2005, pp. 1305 1314

14. The emergence of large-scale coherent structure under small scale random bombardments, Andrew J. Majda and Xiaoming Wang, Communications on Pure and Applied Mathematics, Volume 59, Issue 4 (2006), pp.467-500.

15. Asymptotic behavior of global attractors to the Boussinesq system for Rayleigh-Bènard convection at large Prandtl number, Communications on Pure and Applied Mathematics, Volume 60, issue 9, pp.1293-1318, (September, 2007).

16. A discrete Kato type theorem on inviscid limit of Navier-Stokes flows, W. Cheng and X. Wang, J. Math. Phys. vol. 48, issue 6, pp. 065303-065303-14 (2007).

17. Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number, Communications on Pure and Applied Mathematics, 61 (2008), no. 6, 789–815.

18. Bound on the vertical heat transport at large Prandtl number, Physica D, 237 (2008) 854-858.

19. A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model, W. Cheng and X. Wang, SIAM Jour. Num. Anal., vol.47, no.1, 250-270, 2008.

20. Upper semi-continuity of stationary statistical properties of dissipative systems, Discrete and Continuous Dynamical Systems -A, special issue dedicated to Prof. Li Ta-Tsien. Vol. 23, no.1/2, pp.521-540, 2009.

21. Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Math. Comp., vol. 79 (2010) 259-280.

22. Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Andrew Majda and Xiaoming Wang, Comm. Math. Sci., special issue dedicated to Andy Majda, vol. 8, issue 1 (March 2010), p.145-172.

23. Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition, Yanzhao Cao, Max Gunzburger, Fei Hua and Xiaoming Wang, Communications in Mathematical Sciences, special issue dedicated Andrew Majda. Accepted July 2008. Vol. 8, issue 1 (March 2010), p.1-25.

24. On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer, Discrete and Continuous Dynamical Systems-B, Volume: 13, Number: 2, March 2010, p. 489-501.

25. Finite element approximation of the Stokes-Darcy system with Beavers-Joseph interface interface boundary condition, Yanzhao Cao, Max Gunzburger, Bill Hu, Fei Hua, Xiaoming Wang and Weidong Zhao, SIAM J. Num. Anal., Volume 47, Issue 6, pp. 4239-4256 (2010).

26. Unconditionally stable schemes for thin film epitaxy, Cheng Wang, Xiaoming Wang and Steven Wise, Discrete and Continuous Dynamical Systems, ser. A vol. 28, no. 1, 2010, pp. 405-423. (an invited article in a special issue dedicated to Roger Témam).

27. Examples of boundary layers associated with the incompressible Navier-Stokes flows, Chin. Ann. Math. ser. B, vol. 31, no.5, pp.781–792, 2010.

28. Experimental and computational validation and verification of the Stokes-Darcy and continuum pipe flow models for karst aquifers with dual porosity structure, Bill Hu, Xiaoming Wang, Max Gunzburger, Fei Hua and Yanzhao Cao, Hydrological Processes. Volume 26, Number 13, 30 June 2012 , pp. 2031-2040(10).

29. Long time stability of a classical efficient scheme for two dimensional Navier–Stokes equations, Sigal Gottlieb, Florentina Tone, Cheng Wang, Xiaoming Wang and Djoko Wirosoetisno, SIAM J. Numer. Anal. vol. 50, pp. 126-150, 2012.

30. Second-order convex splitting schemes for gradient flows with Enhrich-Schwoebel type energy: application to thin film epitaxy, Jie Shen, Cheng Wang, Xiaoming Wang and Steven Wise, SIAM J. Numer. Anal. vol. 50, no.1, pp.105-125, 2012.

31. Calibrating the exchange coefficient in the modified coupled continuum pipe-flow model for flow in karst aquifers, Nan Chen, Max Gunzburger, Bill Hu, Xiaoming Wang and Celestine Woodruff, J. Hydrology, 414-415 (2012) 294-301.

32. Boundary Layer for a Class of Nonlinear Pipe Flow, Daozhi Han, Anna Mazuccato, Dongjuan Niu and Xiaoming Wang, Jour. Diff. Equations., Volume 252, Issue 12, 15 June 2012, Pages 6387-6413. DOI:10.1016/j.jde.2012.02.012.

33. An efficient second order in time scheme for approximating long time statistical properties of the two dimensional Navier-Stokes equations, Xiaoming Wang, Numer. Math., Volume 121, Issue 4 (2012), Page 753-779.

34. Long-time Behavior for the Hele-Shaw-Cahn-Hilliard System, Xiaoming Wang and Hao Wu, Asymptotic Analysis, vol. 78, no.1, Aug. 2012, pp.217-245.

35. A linear energy stable numerical scheme for epitaxial thin film growth model without slope selection, Wenbin Chen, Sidafa Conde, Cheng Wang, Xiaoming Wang and Steven Wise, J. Sci. Comp.,(2012) 52: 546-562,

36. Boundary layers associated with a class of 3D nonlinear channel flows, Anna Mazzucato, Dongjuan Niu and Xiaoming Wang. Indiana U. Math. Jour., vol. 60, no.4, 2011, pp. 1113-1136.

37. Well-posedness of the Hele-Shaw-Cahn-Hilliard system, Xiaoming Wang and Zhifei Zhang, Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire., Volume 30, Issue 3, May and June 2013, Pages 367-384.

38. A bound on the vertical transport of heat in the ultimate state of slippery convection at large Prandtl numbers, Xiaoming Wang and Jared Whitehead, Journal of Fluid Mechanics, Volume 729 / August 2013, pp 103-122.

39. Efficient and long-time accurate second order schemes for the Stokes-Darcy system, Wenbin Chen, Max Gunzburger, Dong Sun, and Xiaoming Wang, SIAM J. Numer. Anal. 51-5 (2013), pp. 2563-2584.

40. A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection, Wenbin Chen, Cheng Wang, Xiaoming Wang and Steven Wise, J. Sci. Comp., vol. 59 (3), 2014, 574-601,

41. Initial Boundary Layer Associated with the Nonlinear Darcy-Brinkman System, Daozhi Han and Xiaoming Wang, Jour. Diff. Eqn., Volume 256, Issue 2, 15 January 2014, Pages 609-639,

42. Two phase flows in karstic geometry, Daozhi Han, Dong Sun and Xiaoming Wang, Mathematical Methods in the Applied Sciences, Vol. 37, no.18, pages 3048-3063, Nov. 2014.

43. Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry, Daozhi Han, Xiaoming Wang, and Hao Wu, Jour. Diff. Eqn., vol.257, no. 10, Nov. 2014, pp.3887-3933.

44. Long-time dynamics of 2D double-diffusive convection: analysis and/or numerics, Florentina Tone, Xiaoming Wang, and Djoko Wirosoetisno. Numer. Math., July 2015, vol. 130, no.3, pp. 541-566,

45. A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation, Daozhi Han and Xiaoming Wang, J. Comp. Phys., (2015), pp. 139-156.

46. An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system, Wenbin Chen, Max Gunzburger, Dong Sun, and Xiaoming Wang, Numer.Math. (2016) 134(4), 857-879, DOI: 10.1007/s00211-015-0789-3.

47. Numerical algorithms for stationary statistical properties of dissipative dynamical systems, an invited paper dedicated to Prof. Peter Lax on the occasion of his 90th birthday, Discrete Continuous Dyn Syst Ser A, vol. 36 no.8, pp. 4599-4618, August 2016.

48. Initial boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system, Mingwen Fei, Daozhi Han, and Xiaoming Wang. Physica D, published online Aug. 2016. DOI: 10.1016/j.physd.2016.08.002

49. Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry, Wenbin Chen, Daozhi Han, and Xiaoming Wang, Numer. Math., accepted January, 2017. DOI:10.1007/s00211-017-0870-1.

50. Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System, Amanda Diegel, Cheng Wang, Xiaoming Wang, and Steven Wise, Numer. Math., accepted March 2017. DOI 10.1007/s00211-017-0887-5

**Monograph**

*Nonlinear Dynamics and Statistical Theory for Basic Geophysical Flows*, Andrew J. Majda and Xiaoming Wang, Cambridge University Press, 2006.

**Editorial Board
**

Associate Editor, 2008–present, Mathematical Methods in the Applied Sciences, John Wiley & Sons.

Editorial Board Member, 2012–present, Asymptotic Analysis, IOS press.

## Research

• Applied Mathematics

• PDEs and their Applications

• Fluid and Geophysical Fluid Dynamics

• Numerical Analysis and Scientific Computing

• Groundwater research

• Big data and machine learning

## Teaching

• Mathematical Communication in English (SUSTech)

• Statistical Theory for Turbulent Dynamical Systems (Fudan)

• Applied Analysis (FSU)

• Mathematical Theory for Incompressible Flows (FSU)

• Elementary Statistical Theory with Applications to Fluid Systems (FSU)

• Advanced Partial Differential Equations (FSU)

## Publications Read More

• A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection, Wenbin Chen, Weijia Li, Zhiwen Luo,Cheng Wang*, and Xiaoming Wang, ESAIM: Mathematical Modelling and Numerical Analysis, accepted August 23, 2019.

• Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential, Wenbin Chen, Cheng Wang*, Xiaoming Wang* and Steven Wise, Jour. Comp. Phys., accepted April 30, 2019.

• A second order BDF numerical scheme with variable steps for the Cahn-Hilliard equation, Wenbin Chen, Xiaoming Wang*, Yue Yan and Zhuying Zhang, SIAM Jour. Num. Anal., accepted December 20, 2018. 57-1 (2019), pp. 495-525.

• A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System, Daozhi Han* and Xiaoming Wang, J. Scientific Comp., 77(2), 1210–1233, 2018.

• Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System, Amanda Diegel*, Cheng Wang, Xiaoming Wang, and Steven Wise, Numer. Math., volume 137 (3), 2017, 495–534.