Montreal Olympics Stadium


Full List of  Research Papers:

My research has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC):
      1. ``Phase transitions and partial differential equations of mixed type", NSERC Individual Discovery Grant 354724-2008, 2008-2011.
      2. ``Damped Euler-Poisson equations and nonlinear diffusion waves", NSERC Individual Discovery Grant 354724-2011, 2011-2016.
Here is a full list of my publication. For the reviews of my publications in Mathematical Reviews, look here.


A. Preprints and Submitted Papers

58. Best asymptotic profiles for bipolar hydrodynamic system of  semiconductors (with Donatella Donatelli, Bruno Rubino, and Rosella Sampalmieri), in preparation.

57. Asymptotic behavior of solutions to the bipolar  hydrodynamic model of semiconductors in bounded domain (with  Bruno Rubino, and Rosella Sampalmieri), submitted.

56. Cahn-Hilliard equation with concentration dependent mobility and cubic nonlinearity (with Rui Huang and Jingxue Yin), submitted.

B. Accepted and Published Papers

55. Long-time behavior of solutions for bipolar hydrodynamic model of semiconductors with boundary effects (with Feimin Huang, Yong Wang and Tong Yang), SIAM J. Math. Anal., Vol. 44,  (2012), in press. [PDF]

54.  Planar traveling waves for nonlocal dispersal equation with monostable nonlinearity (with Rui Huang and Yong Wang),  Discrete Contin. Dyn. Syst. -- Series A, (2012), in press [PDF]. See also  arXiv: 1103.2498v1 [math.AP] 13 Mar 2011

53. Stability of  stationary waves for full Euler-Poisson system  in multi-dimensional space (with Yong Wang), Commun. Pure Appl. Anal. (2012), in press.  [PDF]

52. Remark on stability of traveling waves for nonlocal Fisher-KPP equations (with Yong Wang),  International Journal of Numerical Analysis and Modeling, Series  B, Vol.2, No.4, (2011), 379-401. [PDF]

51. Large-time behavior of solutions to n-dimensional bipolar hydrodynamical model of semiconductors (with F.-M. Huang and Y. Wang), SIAM J. Math. Anal., Vol. 43, No.4, (2011),.1595--1630. [PDF]

50. Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors (with  F.-M. Huang , Y. Wang and H. Yu),  J. Differential Equations, 251 (2011), 1305–1331. [PDF]

49. Asymptotics and uniqueness of travelling waves for non-monotone delayed systems on 2D lattices  (with Zhi-Xian Yu), Canadian Math. Bulletin, (2011) in press.  [Abstract]

48. Asymptotic convergence to stationary waves for unipolar hydrodynamic model of semiconductors (with F.-M. Huang , Y. Wang and H. Yu), SIAM J. Math. Anal., Vol. 43, No.1, (2011), 411-429. [PDF]

47. Global stability of monostable traveling waves for  nonlocal time-delayed reaction-diffusion equations (with C.H. Ou and X.-Q. Zhao),  SIAM J. Math. Anal., Vol. 42, No.6 (2010), 2762--2790. [PDF],    [Erratum]

46. Best asymptotic profile for hyperbolic p-system with damping, SIAM J. Math. Anal., Vol. 42, No.1 (2010), 1-23. [PDF]

45. Best asymptotic profile for linear damped p-system with boundary effect (with Hongfang Ma),  J. Differential Equations, 249 (2010), 446--484.  [PDF]

44.  Asymptotic Behavior of Solution to Nonlinear Damped p-System with Boundary Effect (with C.-K. Lin and C-T. Lin), International Journal of Numerical Analysis and Modeling, Series  B, 1 (2010) . [PDF]

43. On travelling wavefronts of the Nicholson's blowflies equation with diffusion (with C.-K. Lin ),   Proc. Royal Soc. Edinburgh (A), 140A (2010), 135--152. [PDF]

42. Remark on critical speed of traveling wavefronts for Nicholson's blowflies equation with diffusion (with D. Wei,  and J. Y. Wu),  Acta Math. Sci., 30B (5),  (2010) . [PDF]

41. Hyperbolic damped p-system and diffusion phenomena, a survey paper appeared in the RIMS lecture series of "Mathematical Analysis in Fluid and Gas Dynamics", RIMS Kôkyûroku,  Kyoto University, Japan, 2010. [PDF]

40. Nonlinear diffusion waves for hyperbolic p-system with nonlinear damping ,  J.  Differential Equations, 247 (2009), 1275--1269. [PDF]

39. Traveling wavefronts for time-delayed reaction-diffusion equation: (I) local nonlinearity (with C.-K. Lin, C-T. Lin, and J.W.-H. So),  J. Differential Equations, 247 (2009), 495--510.  [PDF]

38. Traveling wavefronts for time-delayed reaction-diffusion equation: (II) nonlocal nonlinearity (with C.-K. Lin, C-T. Lin, and J.W.-H. So),  J. Differential Equations, 247 (2009), 511--529.  [PDF]

37. Novel stability results for travelling wavefronts in an age-structured reaction-diffusion population model (with Y. S. Wong),  Mathematical Biosciences and Engineerings, 6  (2009), 743--752. [PDF]

36. Stability of Traveling Wavefronts for Time-Delayed Reaction-Diffusion Equations, Proceedings of the 7th AIMS International Conference ( Texas, USA), Discrete Cont. Dyn. Syst., Supplement 2009, 526--535. [PDF]

35. Stability of strong traveling waves for a non-local time-delayed reaction-diffusion equation (with J.W.-H. So) , Proc. Royal Soc. Edinburgh (A). 138 (2008), 551--568. [PDF]

34. A more effective iteration method for solving algebraic equations (with D. Wei and J.-Y. Wu) ,   Applied Mathematical Sciences, 2 (2008), no. 28, 1387--1391.  [PDF]

33. Stationary solutions of phase transition in a coupled viscoelastic system (with L.-P. Liu and Y. S. Wong), ``Nonlinear Analysis Research Trends'', Edited by N. Roux, Nova Science Publishers, Inc. 2008, p.p. 277--293. [PDF]

32. Nonlinear stability of travelling wavefronts in an age-structured reaction-diffusion population model (with G. Li and Y. S. Wong), Mathematical Biosciences and Engineerings, 5, No. 1, (2008),  85--100. [PDF]

31. Analysis on the critical speed of traveling waves (with J.-Y. Wu and D. Wei), Applied Math. Letters, 20 (2007) 712--718. [PDF]

30. Phase transition for a relaxation model of mixed type with periodic boundary condition (with M. Gander and G. Schmidt), Applied Mathematics Research eXpress, Vol. 2007, Article ID: abm006, Oxford University Press, p.p. 1-34, 2007. [PDF]

29. Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) existence and uniform boundedness (with L.-P. Liu and Y. S. Wong), Discrete Cont. Dyn. Syst.,-- B, 7 (2007) 825--837. [PDF]

28. Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) convergence (with L.-P. Liu and Y. S. Wong), Discrete Cont. Dyn. Syst.,-- B, 7 (2007) 839--857. [PDF]

27. Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary (with L.-P. Liu and Y. S. Wong), Nonlinear Analysis, 65 (2007) 2527--2539. [PDF]

26. Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping (with P. Marcati and B. Rubino), J. Math. Fluid Mech. 7 (2005). [PDF]

25. Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion (with J.W.-H. So, M. Li and S.S. Shen), Proc. Royal Soc. Edinburgh, 134A (2004) 579--594. [PDF]

24. A better asymptotic profile of Rosenau-Burgers equation (with L.-P. Liu ), Appl. Math. Comput. 131 (2002) 147--170. [PDF]

23. Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors (with H.-L. Li and P. Markowich), Proc. Royal Soc. Edinburgh, 132A (2002) 359--378. [PDF]

22. Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations (with H.-L. Li and P. Markowich), Quart. Appl. Math. (2002) 773--796. [PDF]

21. Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic conservation laws with boundary effects (with L. Hsiao and H.-L. Li), Math. Models Methods Appl. Sci. 11 (2001) 1143--1168. [PDF]

20. Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping (with P. Marcati), Quart. Appl. Math. 58 (2000) 763--784. [PDF]

19. Asymptotic profile of solution for the BBM-Burgers equation (with C. Schmeiser), Funkcial. Ekvac. 44 (2001) 151--170. [PDF]

18. Convergence to diffusion waves of the solutions for Benjamin-Bona-Mahony-Burgers equations (with S. Kinami and S. Omata), Appl. Anal. Vol.75 No.3-4 (2000). [PDF]

16. Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a nonconvex relaxation model (with B. Rubino), J. Differential Equations, 159 (1999) 138--185. [PDF]

15. L^q-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations, J. Differential Equations, 158 (1999) 314--340. [PDF]

14. Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary (with A. Matsumura), Arch. Rational Mech. Anal. 146 (1999) 1--22. [PDF]

13. Asymptotic behavior of solutions for a degenerate hyperbolic system of viscous conservation laws, Z. Angew. Math. Phys. 50 (1999) 617--637. [PDF]

12. Remark on stability of shock profiles for nonconvex scalar viscous conservation laws, Bull. Inst. Math. Acad. Sinica, 27 (1999) 213--226. [PDF]

11. Asymptotic stability of critical viscous shock waves for a degenerate hyperbolic viscous conservation laws (with I-L. Chern), Commun. Partial Differential Equations, 23 (1998) 869-886. [PDF]

10. Convergence rates to travelling waves for a nonconvex relaxation model (with T. Yang), Proc. Royal Soc. Edinburgh, 128A (1998) 1053-1068. [PDF]

9. Large-time behavior of solution for generalized Benjamin-Bona-Mahony-Burgers equations, Nonlinear Analysis, TMA 33 (1998) 699-714. [PDF]

8. Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity (with A. Matsumura), Osaka J. Math. 34 (1997) 589-603. [PDF]

7. Stability of traveling wave solutions for nonconvex equations of barotropic viscous gas, Osaka J. Math. 34 (1997) 303-318. [PDF]

6. Nonlinear stability of travelling waves for one dimensional viscoelastic materials with non-convex nonlinearity (with K. Nishihara), Tokyo J. Math. 20(1997) 241-264. [PDF]

5. Long-time behavior of solution for Rosenau-Burgers equation (I), Appl. Anal. 63 (1996) 315-330. [PDF]

4. Long-time behavior of solution for Rosenau-Burgers equation (II), Appl. Anal. 68 (1998) 333--356. [PDF]

3. Stability of shock profiles for nonconvex scalar viscous conservation laws, Math. Models Methods Appl. Sci. 5 (1995) 279-296.

2. (with Y.-K. Xiao): Analysis for a mathematical model of the pattern formation on shells of mollusks, Appl. Math.-JCU 10B (1995) 411-418.

1. On nonlinear coupled reaction-diffusion equations, Acta Math. Sci. Series B, 9 (1990) 341--348.