SIMULTANEOUSLY CLOAKING ELECTRIC AND HYDRODYNAMIC FIELDS VIA ELECTRO-OSMOSIS

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2175-2198
Journal / PublicationSIAM Journal on Applied Mathematics
Volume84
Issue number6
Online published4 Nov 2024
Publication statusPublished - Dec 2024

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85209585031&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(720b630c-6307-4439-9aaf-c7d77aabc136).html

Abstract

We develop a general mathematical framework for the design and analysis of a novel coupled-physics invisibility cloaking scheme that can simultaneously cloak microscale electric and hydrodynamic fields via scattering cancellation for the electric potential and electro-osmosis for the pressure in a Hele–Shaw configuration. As a proof of this concept, the perfect electric and hydrodynamic cloaking conditions are derived for the cloaks with the cross section being annulus or confocal ellipses using the layer potential techniques. Furthermore, we develop an optimization scheme for the design of approximate cloaks within general geometries and prove the well-posedness of the optimization problem. In particular, the conditions that can ensure the simultaneous occurrence of approximate cloaks for general geometries are established. Our theoretical findings are corroborated by several numerical results. Our results are new to the literature. © 2024 Society for Industrial and Applied Mathematics.

Research Area(s)

  • electro-osmosis, invisibility cloaking, layer potential, microscale hydrodynamics, multiphysics cloaking, optimization

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Publication fingerprints text

100
Hydrodynamics Physics
100
Approximates Mathematics
50
Cross Section Mathematics
50
Posedness Mathematics
50
Industrial Mathemat... Mathematics
50
Applied Mathematics Mathematics
50
Ellipse Mathematics
33
Electric Potential Physics
33
Physics Physics
33
Optimisation Proble... Engineering
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Citation Format(s)

[ RIS ] [ BibTeX ]
SIMULTANEOUSLY CLOAKING ELECTRIC AND HYDRODYNAMIC FIELDS VIA ELECTRO-OSMOSIS. / LIU, Hongyu; MIAO, Zhi-Qiang; ZHENG, Guang-Hui.
In: SIAM Journal on Applied Mathematics, Vol. 84, No. 6, 12.2024, p. 2175-2198.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review