What is it about?
It has been shown that the inverse problem for the homogeneous heat equation with homogeneous boundary conditions has a nontrivial solution up to a constant factor consistent with the integral condition.
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Why is it important?
The solution of the considered inverse problem is found in explicit form. In conclusion, statements of possible generalizations and the results of numerical calculations are given.
Perspectives
In many applied problems there is a need to study the problems of heat transfer in degenerating non-cylindrical domains. In particular, it takes place at identifying the model of determining an unknown coefficient in the heat equation. At the same time, it is believed that, firstly, the indication of the device measuring the integral characteristic of an unknown temperature field in the high-voltage intercontact space is known; secondly, the contacts of the electric switch are break from their initial closed state.
Muvasharkhan Jenaliyev
Institute of Mathematics and Mathematical Modeling
Read the Original
This page is a summary of: On the coefficient inverse problem of heat conduction in a degenerating domain, Applicable Analysis, September 2018, Taylor & Francis,
DOI: 10.1080/00036811.2018.1518523.
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