Inverse source problem related to one-dimensional Saint-Venant equation
Inverse source problem related to one-dimensional Saint-Venant equation
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与一维圣维南方程相关的逆源问题
DOI：
10.1080/00036811.2020.1727893
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发表时间：
2022
影响因子：
1.1
通讯作者：
Takase Hiroshi
中科院分区：
文献类型：
--
作者：
得居千照;堀越耀介;Takase Hiroshi
一维圣维南方程描述了渠道中的不稳定水流，并通过施加几个物理假设从一维欧拉方程导出。在本文中，我们考虑了一维线性化简化方程的混合导数项，并通过全局Carleman估计证明了源反问题的全局Lipschitz稳定性.
The one-dimensional Saint-Venant equation describes unsteady water flow in channels and is derived from the one-dimensional Euler equation by imposing several physical assumptions. In this paper, we consider the linearized and simplified equation in the one-dimensional case featuring a mixed derivative term and prove the global Lipschitz stability of the inverse source problem via the global Carleman estimate.