Approximate Cloaking for The Heat Equation via Transformation Optics
classification
🧮 math.AP
keywords
epsilonapproximatecloakingdimensionsequationheatopticstransformation
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In this paper, we establish approximate cloaking for the heat equation via transformation optics. We show that the degree of visibility is of the order $\epsilon$ in three dimensions and $|\ln\epsilon|^{-1}$ in two dimensions, where $\epsilon$ is the regularization parameter.
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