Abstracts

Russian participants

Last years the great attention is paid to study of the control problems in heat and mass transfer. These problems consist of achievement of some purposes by choosing boundary or distributed controls. See for example papers [1,2] and references there.
Along with control problems inverse problems play an important role in applications. For example under studying the pollutant convection-diffusion in fluids the situation can arise when the pollutant sources are not known or hidden and it is required to detect them using certain information about measured concentration field. These problems are inverse source problems for heat and mass transfer equations. Other class of inverse problems, namely the inverse problems of identification of environment parameters, arises in a case, when some characteristics of environment or boundary are required to be restored under the certain information about the solution [3].
In this paper inverse extremum problems for stationary equations of heat and mass transfer in viscous fluid are considered and some methods of investigation of these problems and the results obtained are discussed.

References

1. Alekseev G.V. Stationary Problems of Boundary Control for Heat Convection Equations. Dokl. Math. 1998. V. 58, N 2. P. 314-317.
2. Alekseev G.V., Tereshko D.A. Solvability of the inverse extremal problem for the incompressible heat conducting fluid equations // J. Inverse Ill-posed Problems. 1998. V. 6. P. 581-621.
3. Alekseev G.V. Inverse Extremum Problems for Stationary Equations of Heat and Mass Transfer. 2000. Dokl. Math. V. 62, N 3. P. 420-424.

This work was partially supported by Russian Foundation of Basic Research under grant N 99-01-00214

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