Abstract
A necessary and sufficient conditions of the existence of formal solution to the initial value problem of Navier-Stokes equation on R3×R are presented. A computation case is also given
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References
SHIH Wei-hui.Solutions Analytiques de Quelques Equations aux Derivees Partielles en Mechanique des Fluides [M]. Paris: Hermann, 1992.
Landau J, Lifchitz E.Mecanique des Fluides[M]. Moscou: Editions Mir, 1971.
SHI Wei-hui. A stability study of Navier-Stokes equations (III) [J].Applied Mathematics and Mechanics (English Edition), 1994,15 (12): 1125–1130.
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Communicated by CHIEN Wei-zang
Foundation item: the National Natural Science Foundation of China(19971054); Shanghai Natural Science Foundation (99ZA14034)
Biography: CHIEN Da-duan (1948-)
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Da-duan, C., Wei-hui, S. On the formal solution of initial value problem of Navier-Stokes equation. Appl Math Mech 21, 1432–1439 (2000). https://doi.org/10.1007/BF02459222
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DOI: https://doi.org/10.1007/BF02459222