IAS Program on Inverse Problems, Imaging and Partial Differential Equations

A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding Using Electro-osmosis

Prof. ZHENG Guang-Hui, Assistant Professor of Mathematics, Hunan University

Applied Mathematics Computer Engineering Inverse Problems Partial Differential Equations

Abstract

Rendering objects invisible by cloaking them with metamaterials have made rapid progress in the past decade. However, the difficulties of metamaterials manufacturing have limited its development. In this talk, the speaker will discuss the mathematical analysis of hydrodynamic cloaking and shielding via electro-osmosis in a microfluidic chamber that does not rely on metamaterials. Based on layer potential technique, the conditions that can ensure the occurrence of the microscale hydrodynamic cloaking and shielding are established. Finally, several numerical examples are served to validate his theoretical analysis. (This talk is based on joint works with MIAO Zhiqiang (HNU) and LIU Hongyu (CityU).)

For Attendees' Attention

This talk is hosted by the Department of Mathematics of City University of Hong Kong and will be held online via Zoom. To attend, please join the Zoom meeting at https://cityu.zoom.us/j/92523669881 (Meeting ID: 925 2366 9881 / Passcode: 943914).

About the Program

For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.

A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding Using Electro-osmosis

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