Abstract
We prove the material derivative existence for the solution of the stationary nonlinear heat equation arising in natural or mixed convection. We establish a derivability result for the same operator when the coefficients are assumed to be independent of the temperature (the linear case). In both cases we give a characterization of the material derivative.
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Communicated by R. Triggiani
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Dziri, R., Zolésio, J.P. Shape-sensitivity analysis for nonlinear heat convection. Appl Math Optim 35, 1–20 (1997). https://doi.org/10.1007/BF02683317
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DOI: https://doi.org/10.1007/BF02683317