| 河渠非定常流的精确边界能控性 |
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| 引用本文： | 于勇. 河渠非定常流的精确边界能控性[J]. 高校应用数学学报(A辑), 2004, 19(4): 379-393 |
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| 作者姓名： | 于勇 |
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| 作者单位： | 复旦大学,数学研究所,上海,200433 |
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| 摘 要： | 借助于一阶拟线性双曲型方程组混合初边值问题的半整体C^1解理论对单个河道及弦状网络河道中的非定常流动分别讨论了在闸门边界条件下的精确边界能控性问题，并对在泄洪边界条件下的精确边界能控性进行了相应的讨论。
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| 关 键 词： | 精确边界能控性 Saint-Venant方程组 拟线性双曲方程组 |
| 文章编号： | 1000-4424(2004)04-0379-15 |
Exact boundary controllability of unsteady flows in open canals |
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| YU Yong. Exact boundary controllability of unsteady flows in open canals[J]. Applied Mathematics A Journal of Chinese Universities, 2004, 19(4): 379-393 |
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| Authors: | YU Yong |
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| Abstract: | By means of the existence and uniqueness of semiglobal C~1 solution to the mixed initial-boundary value problem for first order quasi-linear hyperbolic systems and the corresponding theory on the exact boundary controllability, the exact boundary controllability of unsteady flows modelled by Saint-Venant equations in both a single canal and a string-like network of canals with control given by gates under water is esteblished.The cases with spillways are also considered. |
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| Keywords: | exact boundary controllability Saint-Venant equations quasi-linear hyperbolic system |
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