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shape optimization; heat-conducting fluid; energy transfer

References:

[1] Haslinger, J., Neittaanmäki, P.: **Finite Element Approximation for Optimal Shape Design: Theory and Applications**. John Wiley & Sons Chichester (1988). MR 0982710 | Zbl 0713.73062

[2] Kufner, A.: **Weighted Sobolev Spaces. Licensed ed. A Wiley-Interscience Publication**. John Wiley & Sons Chichester (1985). MR 0802206

[3] Rektorys, K.: **Variational Methods in Mathematics, Science and Engineering. Translated from the Czech by Michael Basch**. D. Reidel Publishing Company Dordrecht (1975). MR 0596582 | Zbl 0371.35002

[4] Šorin, S. N.: **Sharing Heat**. SNTL-Publishers of Technical Literature Praha (1968).