首页|期刊导航|南京航空航天大学学报（英文版）|INVISCID INCOMPRESSIBLE AND COMPRESSIBLE FLOW EQUATIONS UNDER SPACE-TIME TRANSFORMATION
南京航空航天大学学报（英文版）2001，Vol.18Issue(z1)：104-107,4.
INVISCID INCOMPRESSIBLE AND COMPRESSIBLE FLOW EQUATIONS UNDER SPACE-TIME TRANSFORMATION
INVISCID INCOMPRESSIBLE AND COMPRESSIBLE FLOW EQUATIONS UNDER SPACE-TIME TRANSFORMATION
摘要
Abstract
The equations governing incompressible and compressible inviscid flows and written in the physical frame (t ,x,y,z) are known to be linearly well-posed and exhibit elliptic or hyperbolic nature. The linear well-posedness is considered here for these equations under a space-time transformation (t,x,y,z)→(τ,ξ,η,ζ), where the pseudo-time τ and the new space coordinate (ξ,η,ζ) all depend on (t,x,y,z). Such a transformation could be useful for uniformly treating problems in which the flow is fast unsteady somewhere and slow unsteady or steady elsewhere. It is found that the transformation may alter the ellipticity, the hyperbolicty, and even the well-posedness of the original equations. In one dimension, the transformed incompressible flow equations become weakly hyperbolic and the compressible ones could degenerate to elliptical equations. In high dimensions there are conditions such that the transformed equations become ill-posed.``关键词
inviscid flows/space-time transformation/well-posednessKey words
inviscid flows/space-time transformation/well-posedness分类
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..INVISCID INCOMPRESSIBLE AND COMPRESSIBLE FLOW EQUATIONS UNDER SPACE-TIME TRANSFORMATION[J].南京航空航天大学学报（英文版）,2001,18(z1):104-107,4.基金项目
Supported by National Natural Science Foundation of China(No. 10025210). （No. 10025210）
