论文标题
从涡流动力学中对反问题的全局确定
Global determination for an inverse problem from the vortex dynamics
论文作者
论文摘要
我们考虑从涡旋偶极子的动态行为中重建背景潜力的问题。我们证明，在适当的条件下，可以通过测量入口和退出位置以及边界点之间的旅行时间来唯一重建实体分析电位。特别是，这项工作从早期结果中消除了对电势的平坦性假设。我们方法的关键步骤是恢复电势边界喷射的构造过程。
We consider the problem of reconstructing a background potential from the dynamical behavior of vortex dipole. We prove that under suitable conditions, one can uniquely reconstruct a real-analytic potential by measuring the entrance and exit positions as well as travel times between boundary points. In particular, the work removes the flatness assumption on the potential from the earlier result. A key step of our method is a constructional procedure of recovering the boundary jet of the potential.
