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| Exact Controllability and Asymptotic Analysis for Shallow Shells |
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Citation： |
S. KAIZU,N. SABU.Exact Controllability and Asymptotic Analysis for Shallow Shells[J].Chinese Annals of Mathematics B,2007,28(1):93~122 |
| Page view： 1090
Net amount： 810 |
Authors： |
S. KAIZU; N. SABU |
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| Abstract： |
The authors consider the exact controllability of the vibrations of a thin shallow shell, of thickness $2\epsilon$ 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. |
Keywords： |
Exact controllability, Asymptotic analysis, Shallow shells |
Classification： |
74K25 |
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