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arXiv · 1806.07576

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

Xinchi Huang·Masahiro Yamamoto
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Abstract

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 Holder type stability results for some inverse source problems.

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Xinchi Huang, Masahiro Yamamoto. 2018-06-20. Carleman estimates for a magnetohydrodynamics system and application to inverse source problems. https://arxiv.org/abs/1806.07576

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