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Abstract
In this article, we consider a magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. Firstly, we state the stability results for our inverse coefficient problem. Secondly, we establish and prove two Carleman type inequalities both for the solutions and for the unknown coefficients. Finally, we complete the proofs of the stability results in terms of the above Carleman estimates.
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No potential conflict of interest was reported by the author.
Additional information
Funding
The author thanks Prof. Yamamoto for his kind comments. This work is supported by Grant-in-Aid for Scientific Research (S) 15H05740, Japan Society for the Promotion of Science (JSPS).