Approximate Cloaking for The Heat Equation via Transformation Optics

2018/11/01 by Hoài-Minh Nguyên, Hoai-Minh Nguyen, Nguyen, Hoai-Minh +2
Engineering · Materials Science · Mathematics · Physics and Astronomy · #35A05 #35B40 #35K45 #Advanced Antenna and Metasurface Technologies #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Metamaterials and Metasurfaces Applications #math.AP #msc:35A05 #msc:35B40 #msc:35K45

paper · pdf · doi:10.48550/arxiv.1811.00396

arxiv created 2018/11/01 · openalex publication_date 2018/11/01 · arxiv updated 2018/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ε in three dimensions and |lnε|^-1 in two dimensions, where ε is the regularization parameter.

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