Journal
MATHEMATICAL CONTROL AND RELATED FIELDS
Volume -, Issue -, Pages -Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mcrf.2022005
Keywords
viscous incompressible fluid; Carleman esti-mates; inverse source problems; stability; magnetohydrodynamics
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Funding
- Japan Society for the Promotion of Science (JSPS) [20F20319]
- JSPS [20H00117]
- National Natural Science Foundation of China [11771270, 91730303]
- Grants-in-Aid for Scientific Research [20H00117, 20F20319] Funding Source: KAKEN
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In this article, we examine the linearized magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. We establish two types of Carleman estimates by combining the Carleman estimates for parabolic and elliptic equations. We then utilize these estimates to prove the Ho center dot lder type stability results for some inverse source problems.
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 Ho center dot lder type stability results for some inverse source problems.
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