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Education and Employment
Present: Professor; Department of Mathematics, Shanghai University,
1991.5 Doctoral Degree ( Docteur d’Etat es-Sciences) ;
1979-1991 Advanced studies, teaching and research in Paris VII University, Paris XI University , Paris XII University ;
1960-1979 Teaching, Department of Mathematics, Shanghai Institute of Technology;
1960 Graduated from the Department of Mathematics, Fudan University.
Research Interests
Nonlinear Partial Differential Equation Theory
Research Achievements
Applying the Stratification theory, thoroughly analyzed and studied the solution space structure of two kinds of generalized Navier-Stokes equations and the complete equation of mixed fluid. Successfully solved the stability problem of a series of important equations of atmospheric dynamics and the well-posedness of their initial, boundary or mixed problems, i.e. the basic equation of atmospheric motion. Since 1993, received support from the Natural Science Foundation of China and the Shanghai Science Committee for four times. The result of the project, “The analytic solution to some kinds of partial differential equation in fluid mechanics”, was awarded the National Science & Technology Progress Grade 2 Prize, in 1997.
Current Research Projects
- 2000.1 ～ 2002.12 ， The Theory and Methods of the Topological Geometry of Nonlinear Partial Differential Equation. （ No.19971054 ） Project supported by the National Natural Science Foundation of China. ¥ 90,000 thousands. Project Leader.
- 2002.1 ～ 2004.12 ， The well-posedness and its Application of the Initial Problem of Baroclinic Atmosphere. (No.40175014) Project supported by the National Natural Science Foundation of China. 90 thousands. ¥ 220,000. Project Leader
- 2002.10 ～ 2005.9 ， The Application of the Stratification in the Study of Weather Forecasting Models. （ No.022307022 ） Cooperation Project supported by the Science committee of Shanghai Municipal Government. ¥ 100,000. Project Leader
- 2002.8 ～ 2005.12 ， The Theory and Numerical Study of Mesoscale weather forecasting model. （ No.02DJ14032 ）， Key project supported by Shanghai Science Committee. ¥200,000, Project Leader
Courses Taught
Basic Topology （ Doctoral Course ）
Manifold and Fiber Bundle Space (Doctoral Course)
The Stratification Theory （ Doctoral Course ）
Graduate Students
Doctoral Graduates: Chen Daduan, He Youhua
Master Graduate: Shen Zhen
Doctoral Students: Wang Yuepeng, Shen Chun
Selected Publications
monographs
- Shih Weihui, Solutions analytiques de quelques é quations aux dé rivé es partielles en mecanique des fluides. Hermann, Paris, 1992 (1994 再版 )
- Shih Weihui, Chen Daduan, He Youhua ，《 The Stratification Theory and Nonlinear Partial Differential Equation 》， Shanghai University Press ， 2001. 11
Papers
- Shih Weihui, On the Stability of Navier-Stokes Equation （ I ）， Applied Mathematics and Mechanics ， No.9, Vol.15, 1994
- Shih Weihui, On the Stability of Navier-Stokes Equation （ II ）， Applied Mathematics and Mechanics ， No.10, Vol.15, 1994
- Shih Weihui, On the Stability of Navier-Stokes Equation （ III ）， Applied Mathematics and Mechanics ， No.12, Vol.15, 1994
- Shih Weihui, Chen Daduan ， On the Exact Solutions to Certain Nonlinear Partial Differential Equations, Applied Mathematics and Mechanics, Vol.18, N0.3, 1997
- Shih Weihui , Solution de l’ é quations hydrodynamiques pour un m é lange fluide. I. H. E. S / M. 96./ 16 France.
- Shih Weihui , A numerical invariant of non-linear partial differential equations, Journal of Shanghai University. 1997.12
- Shih Weihui, Chen Daduan ， On the instability of imcompressible Helium - II Complete Equation.ICNM-Third International Conference on Nonlinear Mechanics , 1998 , 上海
- Shih Weihui, The Instability of Two Specific Forms of Navier-Stokes Equation ， Journal of Nonlinear Vibration Mechanics ， 1998
- Instabilité et solutions formelles de système du type de Navier-Stokes, International Conference on Generalized Functions, Linear and Non-Linear Problems. Guadeloupe (France)
- SHIH Wei-hui, The Instability of Navier-Stokes Equations and Its Effect on Basic Equations of Atmospheric Motion, Chinese Journal of Atmospheric Sciences, Vol.26, No.3, 2002
- Shi Weihui, Xu Ming, Well-posedness Problem of a Simplified Boussinesq Equation with Forcing, CAS-TWAS-WMO FORUM, Second International Symposium on Physico-Mathematical Problems Related to Climate Modeling and Prediction, Sep. 22-25, 2002, Shanghai, China
- Shih Weihui, The Formal Solution of Partial Differential Equation and Projection Limit. Applied Mathematics and Mechanics, No.11, Vol.24, 2003
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