河渠非定常流的精确边界能控性

Exact boundary controllability of unsteady flows in open canals

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C1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.

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.