A note on a classical problem in the mathematical theory of heat conduction
β Scribed by H. Nuttall
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 545 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0020-7225
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The asymptotic behaviour of a heat conduction problem involving a non-linear heat source depending on the heat-#ux occurring in the extremum of a semi-in"nite slab is discussed. Conditions are given on the non-linearity so as to accelerate the convergence of the solution to zero.
## Abstract The goal of this paper is to show how the heat treatment of steel can be modelled in terms of a mathematical optimal control problem. The approach is applied to laser surface hardening and the cooling of a steel slab including mechanical effects. Finally, it is shown how the results can