Nonstationary cooling control in quenching. (English. Russian original) Zbl 0835.65142
Mosc. Univ. Phys. Bull. 49, No. 2, 5-10 (1994); translation from Vestn. Mosk. Univ., Ser III 35, No. 2, 7-13 (1994).
Summary: The inverse problem of controlling nonstationary surface cooling of steel samples with the purpose of preparing a layer with present hardness variations over the layer thickness is formulated. The corresponding mathematical experiment is performed using regularizing operators. The uniqueness of the solution to the control problem is discussed.
MSC:
| 65Z05 | Applications to the sciences |
| 65M30 | Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs |
| 80A23 | Inverse problems in thermodynamics and heat transfer |
| 35R30 | Inverse problems for PDEs |
| 35K05 | Heat equation |
