arXiv 1706.024532017-06math.AP

On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body

Masaru Ikehata

备注：: 33 pages, corrected line 3 up on p.28 and line 2 down on page 29 which are corresponding to the correction of (A.13)
发表信息：: J. Inverse Ill-Posed Probl., 26(2018), No.3, 369-394
DOI：: 10.1515/jiip-2017-0066

英文摘要：

A mathematical formulation of an estimation problem of a cavity inside a three-dimensional thermoelastic body using time domain data is considered. The governing equation of the problem is given by a system of equations in the linear theory of thermoelasticity which is a coupled system of the elastic wave and heat equations. A new version of the enclosure method in the time domain which is originally developed for the classical wave equation is established. For a comparison, the results in the decoupled case are also given.

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