On idealized electromagnetic singularities in arbitrary nonrelativistic motion
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this talk we present the distributional derivatives in space (gradient, divergence, curl and Laplacian) and in time of generalized functions whose singular parts are concentrated on an arbitrary surface, an arbitrary space curve or a point in arbitrary nonrelativistic motion. Such generalized functions are described in a Schwartz-Sobolev space setting and represent arbitrary sources or field quantities in the equations of mathematical physics. Their regular components are locally integrable functions in the Lebesgue sense and their singular components are assumed to be constructed via the temporal and spatial derivatives of the Dirac-delta distribution of every order. We illustrate the applications of these mathematical tools to the field equations of classical electrodynamics under the postulation that they apply in the sense of distributions. The results cover initial, boundary/continuity, edge and tip conditions for concentrated sources in arbitrary nonrelativistic motion.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Polat, B. (2009). On idealized electromagnetic singularities in arbitrary nonrelativistic motion. Maltepe Üniversitesi. s. 125.
