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    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 link: https://doi.org/10.1007/s42985-024-00283-1
    DOI: 10.1007/s42985-024-00283-1
    Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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