Geodesic
On a melting process with restriction on a cooling velocity
Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 119-123.

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Next problem of optimal control of melting process is considered: it's necessary to melt prescribed part of metallic sample using minimal heat consumption. The investigated problem is considered as unsteady one-dimensional. The time depending heat energy supply was considered as a distributed control function. The control function variation may be restricted by some inequalities. The restrictions on interface velocity were imposed either and were of main interest. 
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A. F. Albu; V. I. Zubov. On a melting process with restriction on a cooling velocity. Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 119-123. http://geodesic.mathdoc.fr/item/MM_2002_14_8_a21/

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