Name:
Yongsheng Li 

Introduction:
Phone: +86-20-87114347(0)
Email: yshli@scut.edu.cn
I. Personal Data
Name: Yongsheng Li
Date of Birth: July, 1965
Place of Birth: Hubei Province, P. R. China
Gender: Male
II. Professional Experience and Educational Background
2002.10—Present: Professor of Mathematics, School of Mathematical Sciences, South China University of Technology, Guangzhou, China
1998.7—2002.9: Professor of Mathematics, Department of Mathematics, Huazhong University of Science and Technology, Wuhan, China
1995.12—1998.6: Post-Doctor in Institute of Applied Physics and Computational Mathematics, Beijing, China
1991.9—1995.12: Doctoral Student in Department of Mathematics, Huazhong University of Science and Technology, Wuhan, China
1988.7—1995.12: Lecturer in Department of Mathematics, Huazhong University of Science and Technology, Wuhan, China
1985.9—1988.6: M. S. Student in Department of Mathematics, East China Normal University, Shanghai, China
1981.9—1985.7: B. S. Student in Department of Mathematics, East China Normal University, Shanghai, China
III. Teaching
Courses for Graduate Students
Foundations for Modern Analysis; Sobolev Spaces; Second Order Partial Differential Equations of Elliptic Types; Nonlinear Evolution Equations; Nonlinear Functional Analysis; Semigroups of Linear Operators and Applications to PDEs; Harmonic Analysis, etc..
Courses for College Students
Calculus; Mathematical Analysis for Students Majoring in Engineering; Liner Algebra; Ordinary Differential Equations; Partial Differential Equations; Equations of Mathematical Physics and Special Functions; Function Theory of a complex Variable; Differential Geometry.
IV. Research Interest
Nonlinear Evolutionary Partial Differential Equations and Infinite Dimensional Dynamical Systems, including global existence and blowup of solutions, asymptotic properties, long time behavior, etc.
V. Research Funds
1. 1.1995．1——1997．12, Natural Science Foundation of Hubei Province, Nonlinear Evolution Equations and Infinitely Dimensional Dynamical Systems, Grant No. 95J90.
2. 2001．1——2003．12, Natural Science Foundation of China, Wellposedness and Long Time Behavior of Some Nonlinear Evolution Equations in Mathematical Physics, Grant No. 10001013.
3. 2005．1——2007．12, Natural Science Foundation of China, Some Nonlinear Partial Differential Equations in Mathematical Physics, Grant No. 10471047.
4. 2008．1——2010．12, Natural Science Foundation of China, Study on Nonlinear Schrodinger Equations in Mathematical Physics, Grant No. 10771074.
VI．Main List of Publications
1. Yongsheng LI, On the initial boundary value problems for two-dimensional systems of Zakharov equations and of complex-Schrödinger—real-Boussinesq equations, J. of Partial Diff. Eqs., 5(2), (1992), 81—93.
2. Yongsheng LI and Qingyi CHEN, On initial boundary value problems for nonlinear Schrödinger equations, Acta Math. Scientia, 16(4), (1996), 421—431.
3. Yongsheng LI and Qingyi CHEN, Finite dimensional global attractor for dissipative Schrödinger-Boussinesq Equations, J. Math. Anal. Appl., 205 (1), (1997), 107—132.
4. Yongsheng LI and Qingyi CHEN, Long time behavior of ferromagnetic chain equations: Global attractors and their dimension, Math. Methods Appl. Sci., 20 (15) (1997), 1271-1281.
5. Boling GUO and Yongsheng LI, Attractor for dissipative Klein-Gordon-Schrödinger equations in R3, J. Differential Equations, 136 (2), (1997), 356—377.
6. Yongsheng LI and Boling GUO, Attractor for dissipative Zakharov equations in an unbounded domain, Reviews in Math. Phys., 9(6), (1997), 675—687.
7. Yongsheng LI, Finite dimension of global attractor for weakly dissipative Klein-Gordon-Schrödinger equations, Nonl. World, 4(4), (1997), 573—595.
8. Quan Zheng and Yongsheng LI, Abstract parabolic systems and regularized semigroups, Pacific J. of Math., 182 (1), (1998), 183—199.
9. Boling GUO, Yongsheng LI and Qingyi CHEN, Strongly topological global attractor for dissipative Zakharov equations, in: "Proceedings of International Conference of Nonlinear Partial Differential Equations and Applications, Chongqing, 1997", Boling Guo and Dadi Yang ed., World Scientific, Singapore, Dec., 1998, 49—56.
10. Boling GUO and Yongsheng LI, Attractor for the dissipative generalized Klein-Gordon-Schrödinger equations, J. of Partial Diff. Eqs., 11 (3) (1998), 260—272.
11. Yongsheng LI, Boling GUO and Guoguang LIN, Approximate inertial manifolds for Davey-Stewartson equations, Chinese Ann. of Math. A, 21(2), (2000), 217—224.
English Version: Approximation inertial manifolds for Davey-Stewartson equations, Chinese J. of Contemp. Math., 21 (2) (2000 ) 173-182.
12. Yongsheng LI, Boling GUO and Murong JIANG, Global existence and blowup of solutions to a degenerate Davey—Stewartson equations, J. Math. Phys., 41(5), (2000), 2943—2956.
13. Yongsheng LI and Weiguo ZHANG, Regularity and Approximation of Attractor for the Strongly Damped Wave Equations, Acta Math. Scientia, 20(3),(2000), 342-350..
14. Yongsheng LI and Boling GUO, Global existence of solutions to the derivative 2D Ginzburg-Landau equation, J. Math. Anal. Appl., 249 (2) (2000), 412-432.
15. Yongsheng LI and Boling GUO, Global Attractor for Generalized 2D Ginzburg-Landau Equation, In: “Proceedings of PDE 2000”, Clausthal，July 24-28, 2000, ed M. Demuth, Birkhäuser Publishing Hause, 2001, pp 197-204.
16. Boling GUO and Yongsheng LI, Long Time Behavior of Solutions of Davey-Stewartson Equations, Acta Math. Appl. Sinica (English Series), 17 (2001). 86-97.
17. Jishan FAN and Yongsheng LI, Remark on the Asymptotics of Solutions to the Time-Dependent Cahn-Hilliard Equation, Chinese Ann. of Math. 23A, (2002) 93-98.
18. Yongsheng LI and Boling GUO, Existence and Decay of Weak Solutions to Degenerate Davey-Stewartson Equations, Acta Math. Scientia, 22 (3) (2002), 302-310
19. Yongsheng LI and Caidi ZHAO，Global Attractor for a System of the Non-Newtonian Incompressible Fluid in 2D Unbounded Domains，Acta Anal. Funct. Appl.，2002，4(4), 2002, 343-349.
20. Yongsheng LI and Boling GUO, Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations, J. Math. Anal. Appl. 282, (2003) 256-265.
21. Caidi ZHAO and Yongsheng LI，H2-compact Attractor for a Non-Newtonian System in Two-dimensional Unbounded Domains, Nonl. Analysis, TMA, 56 (2004) 1091-1103.
22. Yongsheng LI and Boling GUO, Attractor of dissipative radially symmetric Zakharov equations outside a ball, Math. Meth. Appl. Sci. 27(7), (2004), 803-818.
23. BoQing DONG and Yongsheng LI，Large time behavior to the system of incompressible non-Newtonian fluids in R2，J. Math. Anal. Appl. 298, (2004), 667-676.
24. Caidi ZHAO and Yongsheng LI，A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains, Nonl. Analysis, TMA, 60, (2005) 475-483.
25. BoQing DONG and Yong Sheng LI, Sharp Rate of Decay for Solutions to Non-Newtonian Fluid in R2, Acta Math. Sinica, 2005, Vol.48, No.6, 1065-1070.
26. YongSheng LI, Long Time Behavior for the Weakly Damped Driven Long-Wave--Short- Wave Resonance Equations, J. Differential Equations, 223(2), (2006) , 261 – 289.
27. BoQing Dong, YongSheng Li, Large time behavior of modified Navier-Stokes equations. (In Chinese) Acta Math. Sci. Ser. A Chin. Ed. 26 (2006), no. 4, 498--505.
28. Yiping Fu, Yongsheng Li, Initial boundary value problem for generalized 2D complex Ginzburg-Landau equation. J. Partial Differential Equations 20 (2007), no. 1, 65--70.
29. Caidi Zhao, Shengfan Zhou, Yongsheng Li, Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. J. Math. Anal. Appl. 325 (2007), no. 2, 1350--1362.
30. Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Appl. Math. Comput. 201 (2008), no. 1-2, 688--700.
31. Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. J. Comput. Appl. Math. 220 (2008), no. 1-2, 129--142.
32. Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Acta Math. Sci. Ser. B Engl. Ed. 28 (2008), no. 4, 823--833.
33. Zhao, CaiDi; Li, YongSheng; Zhou, ShengFan, Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid, J. Differential Equations, 247(8) , (2009) 2331-2363.
34. Li, YongSheng; Yang, XingYu, Existence and regularity of the global attractor for a weakly damped forced shallow water equation in H^1(R), Nonl. Analysis, TMA, 71(11), (2009) 5587-5598.
35. Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng, Existence and Regularity of Pullback Attractors For An Incompressible Non-Newtonian Fluid With Delays, Quarterly of Applied Mathematics, 67(3), (2009), 503-540.
VII. Address
Mailing Address:
Yongsheng LI
Department of Mathematics
South China University of Technology
Guangzhou, Guangdong 510640
P. R. China