Abstract
So far, controlling the solutions of PDE’s on fractal sets has not been much explored. Whereas those structures bear interesting properties in terms of heat diffusion. We hereafter discuss the extension of classical results of control theory to self-similar sets, and apply them to the benchmark case of the Sierpiński Gasket. Our results show that this path will gain being developped.
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Riane, N., David, C. Optimal control of the heat equation on a fractal set. Optim Eng 22, 2263–2289 (2021). https://doi.org/10.1007/s11081-021-09625-z
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DOI: https://doi.org/10.1007/s11081-021-09625-z