A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding by Electro-Osmosis

We develop a general mathematical framework for perfect and approximate hydrodynamic cloaking and shielding of electro-osmotic flow, which is governed by a coupled PDE system via the field-effect electro-osmosis. We establish the representation formula of the solution of the coupled system using the layer potential techniques. Based on the Fourier series, the perfect hydrodynamic cloaking and shielding conditions are derived for the control region with the cross-sectional shape being an annulus or a confocal ellipses.

苗志强，香港城市大学博士后。 2024年毕业于湖南大学，获理学博士学位。目前研究领域为数学物理反问题，主要方向为流体力学中的反问题及隐形技术的数学理论分析与计算。目前已在SIAM J. Appl. Math.、Inverse Probl. 等国际高水平期刊上发表 SCI 学术论文 7篇，主持 “香江学者计划” 项目1项。