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math.AP2024
Existence and uniqueness of Generalized Polarization Tensors vanishing structures
Fanbo Sun, Youjun Deng
This paper is concerned with the open problem proposed in Ammari et. al. Commun. Math.Phys, 2013. We first investigate the existence and uniqueness of Generalized Polarization Tens…
math.AP2024
Optimal estimate of electromagnetic field concentration between two nearly-touching inclusions in the quasi-static regime
Youjun Deng, Hongyu Liu, Liyan Zhu
We investigate the electromagnetic field concentration between two nearly-touching inclusions that possess high-contrast electric permittivities in the quasi-static regime. By usin…