On Identifying Magnetized Anomalies Using Geomagnetic Monitoring Within a Magnetohydrodynamic model
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 691-721 |
Journal / Publication | Archive for Rational Mechanics and Analysis |
Volume | 235 |
Issue number | 1 |
Online published | 13 Jul 2019 |
Publication status | Published - Jan 2020 |
Externally published | Yes |
Link(s)
Abstract
This paper is a continuation and an extension of our recent work (Deng et al. in Arch Ration Mech Anal 231(1):153–187, 2019) on the identification of magnetized anomalies using geomagnetic monitoring, which aims to establish a rigorous mathematical theory for the geomagnetic detection technology. Suppose a collection of magnetized anomalies is present in the shell of the Earth. By monitoring the variation of the magnetic field of the Earth due to the presence of the anomalies, we establish sufficient conditions for the unique recovery of these unknown anomalies. Deng et al.(2019), the geomagnetic model was described by a linear Maxwell system. In this paper, we consider a much more sophisticated and complicated magnetohydrodynamic model, which stems from the widely accepted dynamo theory of geomagnetics.
Citation Format(s)
On Identifying Magnetized Anomalies Using Geomagnetic Monitoring Within a Magnetohydrodynamic model. / Deng, Youjun; Li, Jinhong; Liu, Hongyu.
In: Archive for Rational Mechanics and Analysis, Vol. 235, No. 1, 01.2020, p. 691-721.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review