Citation: | HE You-hua, SHI Wei-hui. The Ck Instability of Navier-Stokes Equation Appending Polynomials of Unknown Functions[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1301-1309. |
[1] |
Landau L, Lifchitz E. Mécaniquedes Fluides [M]. Moscou: Mir,1971.
|
[2] |
Ride H. On planetary atmospheres and interiors[J]. Mathematical in the Geophysical Science, Amer Math Soc, Providence R I,1971.
|
[3] |
唐一呜. 磁通量方程的解空间构造[A]. 见:戴世强主编.现代数学与力学,MMM-Ⅶ[C]. 上海:上海大学出版社,1997,445-452.
|
[4] |
SHIH Wei-hui. Solutions Analytiques de Quelques *quations aux D érivées Partiellesen Mécanique des Fluides[M]. Paris: Hermann,1992.
|
[5] |
SHIH Wei-shu. Une remarque surles systèmes d'équations aux dé rivées partielles analytiques réelles Ⅱ[J]. C R Acad Sci Paris, Série Ⅰ,1987,304(4):103-106.
|
[6] |
SHIH Wei-shu. Une methode élémentaire pour l'étude des équations auxdérivées partielles[J]. Diagrammes,Paris,1986,(16):1-89.
|
[7] |
Trotmann D, Wilsom L. Singularities of Maps and Applications to Differential Equations[M]. Paris: Hermann,1997.
|
[8] |
陈达段,刘晓明,施惟慧. 关于强迫耗散非线性系统的稳定性[J]. 应用数学和力学,1996,17(6):515-522.
|
[9] |
SHIH Wei-hui, CHEN Da-duan. On the instability of incompressible Helium-Ⅱ complete equation[A]. In: CHIEN Wei-zang Ed.ICNM-Third International Conference on Nonlinear Mechanics[C]. Shanghai: Shanghai University Press,1998,848-853.
|
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[17] | CHEN Da-duan, SHI Wei-hui. null[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1293-1300. |
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