- Conference date: 8–13 June 2012
- Location: Sozopol, Bulgaria
In the paper we assume the body which is subjected to influence of given heat source on the part of boundary Γ1 and is cooled by flowing cooling medium on the part of boundary Γ2. The problem of shape optimization which focuses to control distribution of temperature on the boundary Γ1 of the body with heat source by the change of shape of boundary Γ2 is formulated. The energy equation for cooling by flowing medium, which is assumed as a potential flow, is used as the state problem. The cost functional is taken as the second power of the norm in space L 2 of difference of trace temperature from the given constant evaluated on the boundary Γ1. Existence and uniqueness of the state problem solution and existence of a solution of shape optimization problem are proved.
- Potential flows
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