Unique determination for an inverse problem from the vortex dynamics

Ru Yu Lai, Hanming Zhou

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish (US)
Article number025001
JournalInverse Problems
Volume37
Issue number2
DOIs
StatePublished - Feb 2021

Bibliographical note

Funding Information:
R-Y Lai is partially supported by the NSF Grant DMS-1714490 and DMS-2006731.

Publisher Copyright:
© 2020 IOP Publishing Ltd.

Keywords

  • Boundary determination
  • Dipole
  • Global uniqueness
  • Inverse problems

Fingerprint

Dive into the research topics of 'Unique determination for an inverse problem from the vortex dynamics'. Together they form a unique fingerprint.

Cite this