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Shape sensitivity analysis for a microchannel cooling system. (English) Zbl 1457.76143

The flow and temperature of the coolant are modeled by the Stokes system coupled to a convection-diffusion equation. The well-posedness of this model is proved in a domain transformed by the speed method. This article is written clearly and easy to understand, and the references from old to latest are mentioned. No typographical errors are observed.

MSC:

76R10 Free convection
76D07 Stokes and related (Oseen, etc.) flows
76R50 Diffusion
80A19 Diffusive and convective heat and mass transfer, heat flow
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