当前位置: X-MOL 学术Math. Control Relat. Fields › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
Mathematical Control and Related Fields ( IF 1.0 ) Pub Date : 2022-01-01 , DOI: 10.3934/mcrf.2022005
Xinchi Huang 1 , Masahiro Yamamoto 2
Affiliation  

<p style='text-indent:20px;'>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.</p>

中文翻译:

卡尔曼估计磁流体动力学系统及其在逆源问题中的应用

<p style='text-indent:20px;'>在本文中,我们考虑了一个线性化磁流体动力学系统,用于三维有界域中的不可压缩流动。我们首先证明两种卡尔曼估计。这是通过结合抛物线方程和椭圆方程的卡尔曼估计来完成的。然后我们应用Carleman估计来证明一些逆源问题的Hölder类型稳定性结果。</p>
更新日期:2022-01-01
down
wechat
bug