Carleman estimates for a magnetohydrodynamics system and application to inverse source problems | Zendy

Xinchi Huang | Zendy; Masahiro Yamamoto | Zendy

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Carleman estimates for a magnetohydrodynamics system and application to inverse source problems

Author(s) -

Xinchi Huang,

Masahiro Yamamoto

Publication year - 2022

Publication title -

mathematical control and related fields

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.658

H-Index - 21

eISSN - 2156-8472

pISSN - 2156-8499

DOI - 10.3934/mcrf.2022005

Subject(s) - bounded function , magnetohydrodynamics , inverse , domain (mathematical analysis) , mathematics , inverse problem , stability (learning theory) , compressibility , flow (mathematics) , mathematical analysis , type (biology) , physics , computer science , geometry , magnetic field , mechanics , geology , paleontology , quantum mechanics , machine learning

In this article, we consider a linearized magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. We first prove two kinds of Carleman estimates. This is done by combining the Carleman estimates for the parabolic and the elliptic equations. Then we apply the Carleman estimates to prove Hölder type stability results for some inverse source problems.

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