Profile


Academic Positions

   July, 1999- Present:  Professor,   Department of Mathematics, Zhejiang University, China.
 Dec. 1994- Jun. 1999: Associate Professor: Department of Mathematics, Zhejiang University, China.
 Aug. 1992-Nov. 1994: Lecturer, Department of Mathematics, Zhejiang University, China.
   Feb.1982-Aug.1989 Asaistant professor, and then Lecturer at Zhejiang Normal University. Jinhua, Zhejiang, China.

 

 

Educations and Degrees

   Mar. 1978- Jan. 1982:  Department of Mathematics at Zhejiang Normal University, Jinhua, 321004, China. Got Bachelor's degree on Jan. 1982,

   Sept. 1984-Jul. 1986, Student of Department of Mathematics at Fudan University (a special class for assistant professor)
   Sept.1989-Jul. 1992 PhD student in Mathematics,  Fudan University, Shanghai, China. Got PhD degree on Jul., 1992.

Thesis Advisor:  Chen Shuxing.

Thesis:  Propagation and Interaction of Conormal Waves in Nonlinear
Hyperbolic Problems

 

 

Visiting Positions

   Oct. 4 - Dec. 6, 2010, visiting Professor TU Darmstadt, Germany, Paris 13, France and Hasselt University, Belgium.
   Jun. 23 - Jul. 19,  2008, visiting Professor, TU Freiberg, Germany.
   Oct. 2, 2005-Mar.11, 2006, visiting Professor, University of Paris 13, Nice University, France, and TU Freiberg, Germany.
   Feb.1 2005 - Mar. 30, 2005, Visiting professor, TU Freiberg, Germany, and Nice University, France.
   Feb. 1998 - Feb. 1999: Postdoctoral researcher, University of Paris 13, during the summer  time of 1998 I visited ICTP for two months.


Research Interests:

  1.      Harmonic Analysis and Partial differential equation analysis.
  2.      Mathematical theory of Fluid Mechanic and some related fields.
  3.      Analysis of singularities in nonlinear equations
  4.     Stochastic Partial Differential Equations.

Research Grants

 Jan. 2009 - Dec. 2011: Principal Investigator of the research project " Modern analysis techniques and nonlinear dispersive equations" supported by the NSF of China; (No. 10871175)
 Jan. 2010 - Dec. 2013: Investigator of the key research project "Mathematical theory of Fluid Mechanic and relative problems" supported by the NSF of China. (No. 10931007)
 Jun. 2010 - Jun. 2013: Principal Investigator of the Key research project "Mathematica Theory of the determinate and Stochastic problem in Fluid mechanics" supported by the NSF of Zhejiang Province, China (No. Z610027).
 June 2010 - July 2011: Principal Investigator of the international collaboration research project “Variable coefficient Fourier analysis and applications” supported by the National Science Foundation (NSF) of US and the NSF of China (10911120383).
 Jan. 2009 - Present: Co-Investigator of the international collaboration research project “Partial Differential Equations and Applications in Geometry and Physics " supported by the National Science Foundation of Germany (DFG) and the NSF of China. (DFG-GZ: 446 CHV113/170/0-Z).
 Jan. 2006 - Dec. 2008: Co-Investigator of the international collaboration research project “Partial Differential Equations and Applications in Geometry and Physics" supported by the National Science Foundation of Germany (DFG) and the NSF of China. (DFG-GZ: 446 CHV113/170/0-Z).
 Jan. 2006 - Dec. 2008: Principal Investigator of the research project "Nonlinear dispersive equations and microlocal analysis techniques" supported by the NSF of China. (No. 10571158)
 Jan. 2003 - Dec. 2005: Principal Investigator of the research project "The Study of the Nonlinear evolutional  equations and applications" supported by the NSF of China. (No. 10271108)
 Jan. 2003 – Dec. 2005: Co-Investigator of the international collaboration research project “Partial Differential Equations and Applications in Geometry and Physics" supported by the DFG of Germany and the NSF of China.
 Jan. 2000 - Dec. 2002:  Principal Investigator of the half research project of "The Theory and applications for singular perturbation variational problems."supported by the NSF of China. (No. 19971077)
 Jan. 1997 - Dec. 1999: Principal Investigator of the research project "Microlocal analysis and nonlinear perturbational waves" supported by the NSF of China. (No. 19671072)
 Jan. 1994 - Dec. 1996: Principal Investigator of the research project "Nonlinear singular analysis and nonlinear Geometric Optics" supported by the NSF of China. (No. 19301033)

 

Publications

Papers published in journals:


 1.  Nonlinear Superposition of Delta Waves in Multidimensional Space, J. Partial Defferential Equations Vol. 5, No. 3 (1992)

 2.  Propagation of Conormal Waves to Second Order Semilinear Hyperbolic Cauchy Problems, Proceedings of International Conference ``Nonlinear PDE''June,1992

 3. Triple Interactions of Conormal Waves for Higher Order Semilinear Hyperbolic Equations, Chinese Annals of Mathematics Series B, Vol. 16, No.1, 1995.

 4.  The Cauchy Problem for Semilinear Hyperbolic Equations with Cross Discontinuous  Data (with Chen Shuxing), Acta Mathematical Sinica, New Series,
Vol. 11, No. 4, 1995.

 5.  Interactions of Conormal Waves for Higher Order Semilinear Hyperbolic Equations (in Chinese), Chinese Annals of Mathematics, Seris A, Vol.15, No. 6, 1994.

 6.  Multidimensional Gorsat problem for semilinear wave equation, Applied Math.-JCU, Vol.9, No.4, 1994

 7.  The Cauchy Problem for Nonlinear Hyperbolic Equations with Cross Discontinuous Data, Nonlinear Analysis, Theory, Methods & Applications,
Vol. 24, No.5, 1995.

 8.  Multidimensional Gorsat problem for semilinear hyperbolic equation, Applied Math.-JCU, Vol.11, No.1, 1996

9.  Analysis of Strongly Singularity for Nonlinear Hyperbolic Problems, Applied Math.-JCU, Vol.12, No.2 1997

 10.  Blow-up and Global existence Problems for System of Parabolic Equations with Nonlinear Boundary Conditions, (in Chinese), Chinese Annals of Mathematics, Seris A, Vol.18, No. 2, 1997.

11.  The Cauchy problem for a class of fully semilinear hyperbolic equations with piecewise smooth data, J. of Zhejiang University, Vol.30, No. 2, 1996.


12.  Existence time for semilinear Dirac-Klein-Gordon system in 1 dimension, Chinese Journal of Contemporary Mathematics.1999

13.   Almost global existence for solutions of semilinear Klein-Gordon equations with weakly decaying Cauchy data. (with Delort ), Commun. PDE. 25(11 & 12) 2000, 2119-2169.

14.  About the existence time of solutions for field equations in one space dimension, J. Partial Diff. Eqs, 13(2000), 176-192.

15. Existence time for solutions of semilinear different speed Klein-Gordon system with weak decay data in 1D,  Acta Mathematica Scientia, 2002, 22B(1).

16. General Flattened Jaffe Models for Galaxies, (with Zhenglu Jiang, Hongxia Liu and David Moss) Geometry and Nonlinear Partial Differential Equations, AMS/IP Studies in Advanced Mathematics. Vol.29,2002

17. Existence time for solutions of semilinear different speed Klein-Gordon systems with weak decay data, Chinese Journal of Contemporary Mathematics, Vol. 23, No.3, 2002.

 18. On the nonlinear type singularities for semilinear Cauchy problems, (with G. Laschon and Alain Piriou) C.R. Acad. Sci. Paris, Ser.I 335(2002)

19. Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions, (with J.M. Delort and R. Xue), J. of Functional Analysis, 211(2004)288-323.

20. Global well-posedness for the Klein--Gordon equation below the energy norm, (with C. Miao  and B.Zhang)  J. Partial Diff. Eqs. 17(2004), 97-121.

 21. Hyperbolic conormal spaces and semilinear wave equation, (with G. Laschon, A. Piriou and J. P. Varenne), J. Math. Pures Appl. 83(2004)699-737.

22.  A Note on Compressible Navier-Stokes Equations with Vacuum State in One Dimension, (with T.Zhang), Nonlinear Analysis 58(2004)719-731.


 23. Compressible Navier-Stokes Equations with  Vacuum State in One Dimension, (with T. Zhang)  Commun. on pure and appl. analysis. Vol.3,No.4(2004)675-694

24. Cauchy problem for the $L^2$-critical nonlinear Schr"odinger equation below $H^1$,(with S. Zhong)  Nonlinear Analysis, Vol. 62, No. 1(2005), P117-130.

 

25. Global existence of solutions for quadratic quasilinear Klein-Gordon systems in one dimension, (with R. Xue), Acta Mathematica Scientia, Vol. 25, No. 2(2005), P340-358


26. Global existence and asymptotics behavior of solutions for a resonant Klein-Gordon system in two space dimensions(with R. Xue) Chin. Ann. Math., Vol. 26B, No.1(2005), P89-104.

27. Local Well-Posedness and Ill-Posedness on the Equation of Type$Box u=u^k(partial u)^alpha $(with C. Wang) Chinese Annals of Mathematics, Vol. 26, No.3(2005), P 361-378.


28. Global existence of small solutions for cubic quasi-linear Klein-Gordon systems in one space dimension (with R. Xue)  Acta Mathematica Sinica, English Series. 2006, Vol.22, No.. 4, pp 1085-1102.

29. Global Solutions of the Navier-Stokes Equations For Compressible Flow with Density-Dependent Viscosity and Discontinuous initial data (with T. Zhang), Journal of Differential Equations 222(2006)63-94

 30. Discontinuous solutions of the compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum (with T. Zhang) J. Math. Anal. Appl. 318(2006) 224-245

31. Global weak solutions to the Landau-Lifshitz system in 3D (with T. Li), CUBO
a mathematical Journal, Vol. 8, No. 2 1-21.

32. Compressible Navier-Stokes equations with vacuum state in the case of general pressure law, (with T. Zhang) Math. Meth. Appl. Sci. 2006; 29 1081-1106

33. Some remarks on Strichartz estimates for homogeneous wave equation, (with C. Wang) Nonliear Analysis, 65 2006, 697-706


34. Global existence and uniform decay rates of solutions for a class of strongly damped wave equations (with J. Xu). (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 26 (2006), no. 5, 753--765.

35.  Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient(with T. Zhang). Arch. Ration. Mech. Anal. 182 (2006), no. 2, 223--253.

36. Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides (with S. Zhong). J. Differential Equations 231 (2006), no. 1, 212-234

37.   Global existence for nonlinear Klein-Gordon equations in infinite homogeneous
waveguides in two dimensions (with C. Tong, S. Zhong). J. Math.Anal. Appl. 331 (2007), no. 1, 21--37.

38.  Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity.(with T. Zhang) J. Differential Equations 236 (2007), no. 1, 293--341.

39.  A note on the relaxation-time limit of the isothermal Euler equations.(with J. Xu) Bound. Value Probl. 2007, Art. ID 56945, 10 pp. 35Q35 (76Nxx)

40.  Partially regular solutions to the anisotropic Landau-Lifshitz equation in $Bbb Rsp 3$.(with T. Li) (Chinese) Chinese Ann. Math. Ser. A 28 (2007), no. 4, 449--466.

 41. Global exponential stability of classical solutions to the hydrodynamic model for
semiconductors(with J. Xu, T. Zhong). Math. Models Methods Appl. Sci. 17 (2007), no. 10, 1507--1530.

42. Cauchy problem for the $L^2$-critical nonlinear Schr¨odinger equation below $H^1$(with S. Zhong). Chinese AM, 28A(2007) (5):621-630,

43.  Non-formation of vacuum states for Navier-Stokes equations with density-dependent viscosity (with T. Zhang) Journal of Zhejiang University SCIENCE A Vol 8 No.10, 2007.

 44. Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions (with T. Li, R. Xue),  Journal of Zhejiang University SCIENCE A Vol. 8, No.6 2007

 45. Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data (with T. Zhang), J. Math. Anal. Appl. 339(2008) 1413-1424.

46. $L^2$ Concentration Phenomenon of Nonlinear Schr¨odinger Equation with
a Harmonic Potential (with S. Zhong)2008,28A(5):785–793.

47. Existence and uniqueness results for viscous heat-conducting 3D fluid with
vacuum (with T. Zhang) J.  Partial Diff. Eqs. 21(2008), 347-376

48.  Ill-posedness for semilinear wave equations with very low regularity(with C. Wang) Mathematische Zeitschrift. 259 (2008), no. 2, 343--353

49. Global behavior of spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients. (with M. Wei, T. Zhang)SIAM J. MATH. ANAL. Vol. 40,
No. 3, pp. 869-904

 50. Global wellposed problem for the 3-D incompressible anisotropic Navier–Stokes equations (with T.Zhang) J. Math. Pures Appl. 90 (2008) 413–449

  51. Global existence and asymptotic behavior of $C^1$ solutions to the multi-dimensional compressible Euler equations with damping, (with Jiang Xu) Nonliear Analysis. 70 (2009), no. 1, 244--261.

 52. $L^2$-concentration phenomenon for Zakharov system below energy norm. (with Sijia Zhong)  Commun. Contemp. Math. 11 (2009), no. 1, 27--57

53. $L^2$-concentration phenomenon for Zakharov system below energy norm. II.(with Sijia Zhong) Commun. Pure Appl. Anal. 8 (2009), no. 3, 1117--1132. 35Q55 (35B30 35B40)

54. Global Behavior of  Spherically Symmetric Navier-Stokes-Poisson System with Degenerate Viscosity Coefficients.(with Ting Zhang)  Arch. Ration. Mech. Anal. 191 (2009), no. 2, 195--243.

55. A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. (with Ting Zhang) Nonlinear Anal. Real World Appl. 10 (2009), no. 4, 2272--2285.

56.  A solution to parabolic system with the fractional Laplacian.(with Lin Fang) Appl. Math. J. Chinese Univ. Ser. B 24 (2009), no. 2, 184--190.


57. Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type.(with Lin Fang) Math. Methods Appl. Sci. 32 (2009), no. 12, 1467--1495.

58. $v$-loss of derivatives for an evolution type model. (with  Xiaojun Lu and  Michael Reissig) Nonlinear Anal. 71 (2009), no. 11, 5368--5380.

59. Low regularity global well-posedness for the two-dimensional Zakharov system. (with  Hartmut Pecher and Sijia Zhong) Analysis (Munich) 29 (2009), no. 3, 265--281.

60. Compressible flows with a density-dependent viscosity coefficient. (with Ting Zhang) SIAM J. Math. Anal. 41 (2009/10), no. 6, 2453–2488.

61. High-order energy decay for structural damped systems in the electromagnetical field.(with  Xiaojun Lu and  Michael Reissig) Chin. Ann. Math. Ser. B 31 (2010), no. 2, 237–246

62.  Long-time existence for semi-linear Klein-Gordon equations on tori.(with Qidi Zhang) J. Differential Equations 249 (2010), no. 1, 151–179,

63. Continuous dependence for NLS in fractional order spaces.(with T. Cazenave and Z. Han) Ann. I. H. Poincar'e - AN 28 (2011)135-147.
64. On the well-posedness for stochastic Schr"{o}dinger equations with quadratic potential. (with L. Zhang and T. Zhang) Chin. Ann. Math. 32B(5), 2011,1-18
65. The nonlinear Schr"{o}dinger equations with combined nonlinearities of power-type and Hartree-type. (with Z. Han and J. Dai) Chin. Ann. Math. 32B(3) 2011, 435-474.
66. Free boundary problem for compressible flows with density-dependent viscosity coefficients. (with P. Chen and T. Zhang) CPAA vol.10 (2) 2011.459-478
67. Weighted Strichartz estimates with angular regularity and their applications, (with C. Wang) Forum Math. 23(2011) 181-205.
68. A Schr"{o}dinger equation with time-oscillating critical nonlinearity, (with Z. Han) Nonlinear analysis 74(2011) 4698-4708.
69. Multiscale asymptotic behavior of Schr"{o}dinger equation, (with T. Cazenave and J. Xie) Funkcialaj Ekvacioj, 54(2011) 69-94.
70. Scattering for the focusing energy-subcritical nonlinear Schr"{o}dinger equation, (with T. Cazenave and J. Xie) 54(2011)(10)2037-2062
71.  Random data Cauchy theory for the incompressible three dimensional Navier-Stokes equations, (with T. Zhang) Proc. AMS 139(8) 2011 2827-2837
72.  Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain, (with R. Zi and T. Zhang) JMAA 386(2011)939-947.
73. Random data Cauchy Theory for the generalized incompressible Navier-Stokes equations, (with T. Zhang) J. Math. Fluid Mech. 2011 online Doi 10 1007/s00021-011-0069-7

Books

1.  Mathematical Modeling, (with Qifan Yang) Zhejiang University Press 1999.
2.  Ordinary Differential Equations, (with Ruying Xue) Zhejiang University Press, 2008
3.  Noninear Wave Equations, Zhejiang University Press, 2008
4. Navier-Stokes Equations with variant viscosity, (with Ting Zhang) Zhejiang University Press, 2008


Invited Talks

Partial List of Invited Talks in Conferences or Seminar:

 1 Global solution for the ideal incompressible viscoelastic fluids in the critical $L^p$ framework, on PDEs seminar. Nov. 8, 2011, TU Darmstadt, Germany.

2  On the solutions of semilinear Schr"{o}dinger equations in $H^s$, April3-6, 2011, Chicago University, USA.

3.  Global existence in critical spaces for incompressible viscoelastic fluids, March 28-April 3, 2011, Pittsburgh University, USA.

4.  On the long time behavior of solutions of Schr"{o}dinger equation, March 21-28, Johns Hopkins University, USA.

5.   Scattering for the focusing energy-subcritical nonlinear Schr"{o}dinger equations, Jan10-15, 2011 Shanghai Jiaotong University, China.


6. On growth of Sobolev norms in linear Schr"{o}dinger equations with time dependent Gevrey potential, on the seminar of Dynamical systems, Nov. 3, 2010   Hasselt University, Diepenbeek, Belgium


7. Continuous dependence for NLS in fractional order spaces, on PDEs seminar. Oct. 21, 2010, TU Darmstadt, Germany.

 8. Random data Cauchy theory for the generalized incompressible   Navier--Stokes equations, Evolution Equations 2010, October 11-15 in Schmitten, Germany.

 9. On growth of Sobolev norms in linear Schr"{o}dinger equations with time dependent Gevrey potential on International conference of Harmonic and applications, July 27-31, 2010 MTC, Mudanjiang, China

  10. On the growth of Sobolev norms for solutions of linear Schr"{o}dinger equations on tori, on 2010 International Conference on Applied Analysis, June 5-8, 2010, Shanghai, China.

 11. Long-time existence for semilinear Klein-Gordon equations on tori, International conference "Nonlinear Partial Differential Equations" Aug. 10-15 2009, Zhang Jiajie, China.

 12. Zakharov system in infinite energy space, 7th ISSAC Congress, July 13-18, 2009, London. Britain.

 13. $L^2$-concentration  and global well posedness for the Zakharov system, on Harmonic and Application to PDEs, May 26-30, 2009, Beijing, China.

   14.  Cauchy problem for a Kazhikhov-Smagulov type model, on the iternatioal conference of  Conservation laws and kinetic equations, April. 1-4, 2009, Wuhan, China.

15.   Well-posed problem of a pollutant model of the Kazhikhov-Smagulov type, on Gearman-Chinese workshop on Partial Differential Equations, Mar.2-6,2009. Konstanz, Germany.

16.  Generalized Strichartz Estimates and Strauss' Conjecture, Jan. 1, 2009, ECU HuaLian, Taiwan

17.  Multi-Dimensional Degenerate Compressible Navier-Stokes Equations, Dec. 30, 2008 NSYSU, Gaoxiong, Taiwan

18. Some Recent Progress in Multi-Dimensional Degenerate Compressible
Navier-Stokes Equations, on Analysis and Applications seminar, July, 9,  2008, Freiberg, Germany.


  19.    Some problems for the 3-D incompressible anisotropic Navier-Stokes equations , on the international conference of PDEs, Dec.14-16, 2008, Jinhua, China


20.    Weighted Strichartz Estimates with Angular Regularity and their Applications, on China-France workshop on PDEs, Oct. 20-24,  2008 Tianjin , China.


 21.      Multi-Dimensional Degenerate Compressible Navier-Stokes Equations , on the conference about Nonlinear Partial Differential Equations, Dec. 14-16, 2007, Beijing, China.


22.   Multi-Dimensional Compressible Navier-Stokes Equations with Degenerate Viscosity Coefficients , on the conference of Conservation laws and kinetic equations,  Dec. 25, 2007, Shanghai, China.

 23.      Global wellposed problem for the 3-D incompressible anisotropic Navier -Stokes  equations, on Gearman-Chinese workshop on Partial Differential Equations ,  Sept. 2, 2007, Xian, China.

 24.    Global existence for nonlinear Klein-Gordon equation in infinite homogeneous waveguides, Mar. 02, 2006, Nice, France

25. Cauchy problem for the $L^2$-critical focusing nonlinear Schr"{o}dinger equation below the energy norm, on seminar of Analysis and applications, 11 Jan. 2006 Freiberg, Germany.

 26. Well or Ill-Posedness issues for nonlinear Wave Equations, on the Asia area mathematician conference, July 19-24, 2005, Singapore.

27.  Well or ill posedness issues for nonlinear wave equation, Gearman-Chinese workshop on Partial Differential Equations, February 17, 2005 , Potsdam, Germany.

28. Some new results for Klein-Gordon equations, on the fourth northeastern conference on nonlinear PDEs, Feb.13-21, 2003. Sendai, Japan

29. Global existence to the Klein-Gordon equation with quadratic nonlinearity in two space dimensions,  on German-Chinese workshop on PDE, Oct. 2002. Potsdam Germany,

30. A note on the Klein-Gordon equation with quardratic nonlinearity in 2D, on Nonlinear PDE and related topics, July 14-20, 2002. Australian,

31.  Delta waves of Riemann problem for system of conservation laws, on `` US-Chinese Conference on Recent Development in Differential Equations & Applications'', Jun 24-29,1996, Hangzhou.

32.  The Cauchy problem for a class of fully semilinear hyperbolic equations with discontinuous data, on ``  Sixth international conference on Hyperbolic Problems'', Jun 15-19,1996,
Hong Kong.

33.  Strongly singular Problems for nonlinear hyperbolic equations,  on `` Workshop on general theory of partial differential equations and microlocal analysis'', September 4-15 1995, ICTP.

 Conferences Organized

June 5-10, 2011, Organizer of Hangzhou conference on Harmonic analysis and PDEs, China. 

May 17-23, 2010: Co- organizer of {it Beijing Conference on Harmonic analysis and PDE} in Beijing, China.
  Aug.17-19, 2002: Main co- organizer, we hosted String Theory conference from  in Hangzhou, China.
  June 16-20, 2001: Chairman of the organizing committee, organized an International Conference on {it Nonlinear Partial Differential Equations and Their Applications}  in Huangshan, China.

 Teaching Experiences

   From Sept. 1992 to now Given more than 30 courses both for undergraduates and graduates at Zhejiang  University, with subjects covering Calculus, Linear Algebra, Pseudo-differential operators, Ordinary Differential Equations, Partial Differential Equations, Real Analysis, Harmonic Analysis and applications,  Navier-Stokes equations, Nonlinear Wave equations, Schr"{o}dinger equations and selected topics in modern analysis and nonlinear PDEs.
  From Jan. 1982- Aug. 1989 Given several courses for undergraduates at Zhejiang Normal University, with subjects Ordinary Differential Equations, Differential Geometry, Methods of Mathematical Physics, Sobolev Space and Variable
Methods.
 From Oct. 1975- Mar. 1978 Teacher of elementary School  and junior high school at  Pujiang county, Jinhua city, Zhejiang, China.

 


 Students

Former PhD Students:

  201006 Lu, Xiaojun The application of microlocal analysis in $sigma$ evolutiona equations
  201006 Zhang, Qidi Global existence and growth of $H^s$ norms for solutions  of some dispersive equations on manifolds
  200906 Chen, Ping Some results of the Compressible Navier-Stokes Equations
  200906 Fang, Lin The studies of some mathematical models of the incompressible fluids
  200806 Zhong, Sijia  The Application of Normal Form and I-method in the Partial
Differential Equations
  200803 Tong, Changqing Long Times Existence of Nonlinear Wave Equation on Compact
Manifold
  200803 Wei, Mingjun  Some problems for deterministic and nondeterministic Navier- Stokes eqautions
  200706 Li, Tailong On Landau-Lifshitz Equations

  200706 Wang, Chengbo Strichartz estimates and well posed problems for nonlinear equation
  200706 Xu, Jiang Asymptotic Behavior for Euler-Poisson Equations and Euler
Equations
  200606 Zhang, Ting  Navier-Stokes Equations with Density-Dependent Viscosity


Former Master Students:

   200906 Zhu, Lei Global Solutions of Nonelliptic Semilinear Schr"{o}dinger Equations with Potentials
   200706  Ge, Liyan Initial-boundary value problem for the KdV-Burgers equations.
   200603 Hong, Yuxiang The exact controllability study for several PDEs.

 

 

 

Present Students:

Ph.D. Students:
          Han, Bin; Han, Zheng; Wang, Sumei; Xie, Jian; Zhang, Linzi; Zhi, Ruizao.

Master Students: Chen, Hui; Huang, Teng.

 

Research work

Research interesting: 1. Harmonic Analysis and Partial differential equation analysis. 2. Mathematical theory of Fluid Mechanic and some related fields. 3. Analysis of singularities in nonlinear equations 4. Stochastic Partial Differential Equations.

Contact

Phone:
E-mail:dyf@zju.edu.cn