Unique determination for an inverse problem from the vortex dynamics. (4th January 2021)

• Record Type: Journal Article
• Authors: Lai, Ru-Yu; Zhou, Hanming
• Is Part Of: Inverse problems. Volume 37:Number 2(2021)
• Publication Date: 2021-01-04
• Subjects: inverse problems -- boundary determination -- global uniqueness -- dipole; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/abd383
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: 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.