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題名 Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
作者 邱普照
Kow, Pu-Zhao;Shahgholian, Henrik
貢獻者 應數系
關鍵詞 Quadrature domain; Variational problem; Partial balayage; Non-scattering phenomena; Helmholtz equation; Acoustic waves; Magnetic fields
日期 2024-04
上傳時間 12-Jun-2024 14:42:25 (UTC+8)
摘要 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.
關聯 Partial Differential Equations and Applications, Vol.5, article number 13, pp.1-28
資料類型 article
DOI https://doi.org/10.1007/s42985-024-00283-1
dc.contributor 應數系
dc.creator (作者) 邱普照
dc.creator (作者) Kow, Pu-Zhao;Shahgholian, Henrik
dc.date (日期) 2024-04
dc.date.accessioned 12-Jun-2024 14:42:25 (UTC+8)-
dc.date.available 12-Jun-2024 14:42:25 (UTC+8)-
dc.date.issued (上傳時間) 12-Jun-2024 14:42:25 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/151697-
dc.description.abstract (摘要) 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.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Partial Differential Equations and Applications, Vol.5, article number 13, pp.1-28
dc.subject (關鍵詞) Quadrature domain; Variational problem; Partial balayage; Non-scattering phenomena; Helmholtz equation; Acoustic waves; Magnetic fields
dc.title (題名) Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s42985-024-00283-1
dc.doi.uri (DOI) https://doi.org/10.1007/s42985-024-00283-1