| ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION |
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| 引用本文： | ZHANG Weitao,FENG Dexing Institute of Systems Science,Academia Sinica,Beijing 100080,China. ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION[J]. 系统科学与复杂性, 1993, 0(4) |
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| 作者姓名： | ZHANG Weitao FENG Dexing Institute of Systems Science Academia Sinica Beijing 100080 China |
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| 作者单位： | ZHANG Weitao;FENG Dexing Institute of Systems Science，Academia Sinica，Beijing 100080，China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China. |
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| 摘 要： | Using the interpolation theory of a family of linear operators and the Sobolevspaces, we introduce a quantity J_∈~4(λ) which depicts the shape of the boundary layer, andthen analyze the boundary singularty of J_∈~4(λ). Our result shows that the thickness of theboundary layer (or the regular region of J_∈~4(λ)) is intrinsically related to the reciprocal ofthe order of the equation; the loss of boundary conditions between the singular solution andthe limit solution does not influence the thickness of the boundary layer, but it influencesthe process of increasing singularity of J_∈~4(λ); the more the loss of boundary conditions, thesmaller the region of increasing singularity. Finally, we give a definition of a neighborhoodof sudden change and propose an open problem regarding this neighborhood.
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ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION |
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| ZHANG Weitao,FENG Dexing Institute of Systems Science,Academia Sinica,Beijing ,China. ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION[J]. Journal of Systems Science and Complexity, 1993, 0(4) |
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| Authors: | ZHANG Weitao FENG Dexing Institute of Systems Science Academia Sinica Beijing China |
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| Affiliation: | ZHANG Weitao,FENG Dexing Institute of Systems Science,Academia Sinica,Beijing 100080,China |
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| Abstract: | |
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| Keywords: | The interpolation theory the interior estimate the boundary layer singularity the neighborhood of sudden change |
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