Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
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DOI：
10.3934/mcrf.2022005
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发表时间：
2018-06
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影响因子：
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通讯作者：
Xinchi Huang;Masahiro Yamamoto
中科院分区：
文献类型：
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作者：
Xinchi Huang;Masahiro Yamamoto
在这篇文章中，我们考虑一个线性化的磁流体力学系统的不可压缩流在一个三维有界区域。我们首先证明两种Carleman估计。这是通过结合Carleman估计抛物和椭圆方程。然后我们应用Carleman估计证明了一些逆源问题的Hölder型稳定性结果。
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.