Approximate Cloaking for The Heat Equation via Transformation Optics

Hoai-Minh Nguyen; Tu Nguyen

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arXiv · 1811.00396

Approximate Cloaking for The Heat Equation via Transformation Optics

Hoai-Minh Nguyen·Tu Nguyen

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Abstract

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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Hoai-Minh Nguyen, Tu Nguyen. 2018-11-01. Approximate Cloaking for The Heat Equation via Transformation Optics. https://arxiv.org/abs/1811.00396

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