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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/151697

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/151697

Title:	Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
Authors:	邱普照 Kow, Pu-Zhao;Shahgholian, Henrik
Contributors:	應數系
Keywords:	Quadrature domain;Variational problem;Partial balayage;Non-scattering phenomena;Helmholtz equation;Acoustic waves;Magnetic fields
Date:	2024-04
Issue Date:	2024-06-12 14:42:25 (UTC+8)
Abstract:	The primary objective of this paper is to explore the multi-phase variant of quadrature domains associated with the Helmholtz equation, commonly referred to as k-quadrature domains. Our investigation employs both the minimization problem approach, which delves into the segregation ground state of an energy functional, and the partial balayage procedure, drawing inspiration from the recent work by Gardiner and Sjödin. Furthermore, we present practical applications of these concepts in the realms of acoustic waves and magnetic fields.
Relation:	Partial Differential Equations and Applications, Vol.5, article number 13, pp.1-28
Data Type:	article
DOI 連結:	https://doi.org/10.1007/s42985-024-00283-1
DOI:	10.1007/s42985-024-00283-1
Appears in Collections:	[應用數學系] 期刊論文

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