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Publikováno v:
Materials Today: Proceedings. 47:4206-4209
Circulation of vector fields is vital to understand research problems in several areas such as fluid dynamics, electromagnetics, atmospheric sciences, and allied fields. Curl is the mathematical tool to describe circulation. Stokes’ Curl theorem in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72d8b0cb131bea09e4f19875e090b809
https://doi.org/10.1016/j.matpr.2021.04.459
https://doi.org/10.1016/j.matpr.2021.04.459
Autor:
Katsunari Okamoto
This chapter reviews several important theorems and formulas which form the bases for the derivation of various equations. Gauss's theorem, Green's theorem, and Stokes' theorem are foundations of electromagnetic theory. The integral theorem of Helmho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b45b820acecbf15b23284ce38c1a351
https://doi.org/10.1016/b978-0-12-815601-8.50010-0
https://doi.org/10.1016/b978-0-12-815601-8.50010-0
Autor:
Fedosin, Sergey G
Publikováno v:
Progress In Electromagnetics Research C. 96:109-122
Gauss integral theorems for electric and magnetic fields, Faradays law of electromagnetic induction, magnetic field circulation theorem, theorems on the flux and circulation of vector potential, which are valid in curved spacetime, are presented in a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a117220c9626cd03afbdbfaa2612955
https://doi.org/10.2528/pierc19062902
https://doi.org/10.2528/pierc19062902
Autor:
Jing Ren, Chengbo Zhai
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 18:575-583
In this article, we mainly prove the existence of extremal solutions for a fractional q $q$ -difference equation involving Riemann–Lioville type fractional derivative with integral boundary conditions. A comparison theorem under weak conditions is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75ec7b165bcae8171a81ca4ae31c3912
https://doi.org/10.1515/ijnsns-2017-0056
https://doi.org/10.1515/ijnsns-2017-0056
Autor:
Yu. A. Eremin
Publikováno v:
Differential Equations. 53:1121-1126
Based on integral transforms for wave fields, we obtain a generalization of the optical theorem for the case in which a local inhomogeneity is excited by a multipole source of arbitrary order. This generalization permits determining the total scatter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e45b93a27b6351c7cde62534196dc724
https://doi.org/10.1134/s0012266117090038
https://doi.org/10.1134/s0012266117090038
Autor:
Bessa, Mario
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Agência para a Sociedade do Conhecimento (UMIC)-FCT-Sociedade da Informação
instacron:RCAAP
Agência para a Sociedade do Conhecimento (UMIC)-FCT-Sociedade da Informação
instacron:RCAAP
In this note, we prove the flowbox theorem for divergence-free Lipschitz vector fields.
Dans cette note, nous prouvons le théorème du flot tubulaire pour les champs vectoriels Lipschitz à divergence nulle.
Dans cette note, nous prouvons le théorème du flot tubulaire pour les champs vectoriels Lipschitz à divergence nulle.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30f498d5c09508761dae63ef8d73c8be
https://doi.org/10.1016/j.crma.2017.07.006
https://doi.org/10.1016/j.crma.2017.07.006
Autor:
Toru Maruyama
Publikováno v:
Journal of the Operations Research Society of Japan. 60:122-135
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06db54821200576424ba15a61198a2dd
https://doi.org/10.15807/jorsj.60.122
https://doi.org/10.15807/jorsj.60.122
Autor:
Hassan Atef Hassan
Publikováno v:
TURKISH JOURNAL OF MATHEMATICS. 41:67-79
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46c9a77271bc457757a2165f96f415e2
https://doi.org/10.3906/mat-1505-73
https://doi.org/10.3906/mat-1505-73
Publikováno v:
Tamkang Journal of Mathematics. 47:455-475
In this paper we study the solvability of the generalized vector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banach spaces. The existence results of strong solutions of GVEPs for monotone multifunctions are es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80e709fbf5fec8f66df5974e41d0190c
https://doi.org/10.5556/j.tkjm.47.2016.2163
https://doi.org/10.5556/j.tkjm.47.2016.2163