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【online】Carleman estimates and some inverse problems for the coupled quantitative ......

发布人:发布时间: 2020-07-20

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题目: Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data


报告人:李书敏  (中国科技大学)


时间: 2020722  3:00-4:00pm


报告方式:腾讯会议  ID: 186 172 925


摘要:We investigate the so called quantitative thermoacoustic tomography process. According to the paper of Cox and Beard in 2009, assuming that the variations in temperature and pressure are weak and neglecting the nonlinear effects, we obtain that the temperature rise θ and the pressure perturbation p from the equilibrium steady state satisfy a strongly coupled  system of partial differential equations. Let Θ be equal to the partial derivative of θ with respect to time. We obtain that Θ and p satisfy a strongly coupled hyperbolic-parabolic system. We consider Carleman estimates and applications to inverse problems for this coupled hyperbolic-parabolic system.


邀请人:杨孝平  老师