| Exact Controllability and Asymptotic Analysis for Shallow Shells |
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| 引用本文： | S. KAIZU,N. SABU. Exact Controllability and Asymptotic Analysis for Shallow Shells[J]. 数学年刊B辑(英文版), 2007, 28(1): 93-122. DOI: 10.1007/s11401-005-0183-z |
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| 作者姓名： | S. KAIZU N. SABU |
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| 作者单位： | Department of Mathematics Faculty of Education Ibaraki University，2-1-1，Bunkyo，Mito，Japan，Department of Mathematics Faculty of Education，Ibaraki University，2-1-1，Bunkyo，Mito，Japan |
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| 基金项目： | This work was completed when the second author was visiting the University of Ibaraki under the JSPS fellowship whose support is greatfully acknowledged. |
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| 摘 要： | The authors consider the exact controllability of the vibrations of a thin shallow shell, of thickness 2εwith controls imposed on the lateral surface and at the top and bottom of the shell. Apart from proving the existence of exact controls, it is shown that the solutions of the three dimensional exact controllability problems converge, as the thickness of the shell goes to zero, to the solution of an exact controllability problem in two dimensions.
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| 关 键 词： | 精确可控性 渐进分析 薄壳体 存在性 |
| 收稿时间： | 2005-05-17 |
Exact Controllability and Asymptotic Analysis for Shallow Shells |
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| S. KAIZU and N. SABU. Exact Controllability and Asymptotic Analysis for Shallow Shells[J]. Chinese Annals of Mathematics,Series B, 2007, 28(1): 93-122. DOI: 10.1007/s11401-005-0183-z |
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| Authors: | S. KAIZU and N. SABU |
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| Affiliation: | Department of Mathematics, Faculty of Education, Ibaraki University, 2-1-1, Bunkyo, Mito, Japan |
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| Abstract: | Abstract The authors consider the exact controllability of the vibrations of a thin shallow shell, of thickness 2ε with controls imposed on the lateral surface and at the top and bottom of the shell. Apart from proving the existence of exact controls, it is shown that the solutions of the three dimensional exact controllability problems converge, as the thickness of the shell goes to zero, to the solution of an exact controllability problem in two dimensions. |
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| Keywords: | Exact controllability Asymptotic analysis Shallow shells |
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