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Formal solutions of partial differential equations and the projective limit

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Abstract

Based on stratification theory, the existence theorems of formal solutions of partial differential equation (PDE) are given. And the relationship between formal solutions and projective limit of Ehresmann chain is presented.

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References

  1. Landau L, Lifchitz E.Mécanique des Fluides[M]. Editions Mir, Moscou, 1971.

    Google Scholar 

  2. SHIH Wei-hui.Solutions Analystiques de Quelques Équations aux Dérivées Partielles en Mécanique Des Fluides[M]. Paris: Hermann, 1992.

    Google Scholar 

  3. SHIH Wei-shu.Une Méthode Élémentaire Pour L'étude Deséquations aux Dérivées Partiells[M]. paris: Diagrammes 16, 1986.

    Google Scholar 

  4. Trotmann D, Wilson L.Singularities of Maps and Applications to Differential Equations[M]. Paris: Hermann, 1997.

    Google Scholar 

  5. SHI Wei-hui, CHEN Da-duan, HE You-hua.The Foundations of Stratification Theory and Partial Differential Equation[M]. Shanghai: Shanghai University Press, 2001.

    Google Scholar 

  6. SHI Wei-hui, CHEN Da-duan. On the instability of incompressible Helium-II Complete equation [A]. In: CHIEN Wei-zang Ed.Proceeding of the 3rd International Conference on Nonlinear Mechanics [C]. Shanghai, 1998.

  7. CHEN Da-duan, LIU Xiao-ming, SHI Wei-hui. On the Stability of Forced Dissipative Nonlinear System[J].Applied Mathematics and Mechanics (English Edition), 1996,17(6):541–548.

    MathSciNet  Google Scholar 

  8. SHEN Zhen. On the well-posedness of initial value problem for Euler equation's of incompressible invisciol fluid (I), (II)[J].Applied Mathematics and Mechanics (English Edition), 2003,24 (5):545–567.

    MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Science College, Shanghai University, 200072, Shanghai, P. R. China

    Shi Wei-hui Docteur d'Etat es-Sciences (REPUBLIQUE FRANCAISE) (Professor of Shanghai University) & Shen Zhen

Authors
  1. Shi Wei-hui Docteur d'Etat es-Sciences (REPUBLIQUE FRANCAISE)
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  2. Shen Zhen
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Additional information

Communicated by CHIEN Wei-zang

Foundation item: the National Natural Science Foundation of China (19971054, 40175014)

Biography: SHI Wei-hui(1936∼)

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Wei-hui, S., Zhen, S. Formal solutions of partial differential equations and the projective limit. Appl Math Mech 24, 1281–1289 (2003). https://doi.org/10.1007/BF02439651

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  • DOI: https://doi.org/10.1007/BF02439651

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Chinese Library Classification number

2000 Mathematics Subject Classification

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