Russian Federation
Russian Federation
This article discusses the main integral characteristics of vector fields that play a key role in various fields of physics and engineering. Concepts such as vector field flow, circulation and divergence are discussed, as well as their physical significance and application in problems related to electromagnetism, hydrodynamics and mechanics. The article focuses on methods for calculating integral characteristics that allow us to relate local properties of vector fields to their integral characteristics. Examples of practical application of these theorems in solving real problems, such as the analysis of fluid flows and electric fields, are given.
vector fields, closed surface, elementary flow, closed trajectory, total force
1. Formalizaciya verifikacii topologii i elektricheskoy shemy dlya sistem avtomatizirovannogo proektirovaniya / T. V. Skvorcova, K. V. Zol'nikov, A. M. Plotnikov, I. V. Skorkin // Modelirovanie sistem i processov. – 2024. – T. 17, № 3. – S. 61-70. DOI: https://doi.org/10.12737/2219-0767-2024-59-68; EDN: https://elibrary.ru/DUYQHJ
2. Sistema monitoringa i opovescheniya o proniknovenii na territoriyu biosfernogo zapovednika / A. S. Yagodkin, A. V. Achkasov, T. V. Skvorcova [i dr.] // Ohrana, innovacionnoe vosstanovlenie i ustoychivoe upravlenie lesami. Forestry – 2023 : materialy Mezhdunarodnogo lesnogo foruma, Voronezh, 13 oktyabrya 2023 goda. – Voronezh: Voronezhskiy gosudarstvennyy lesotehnicheskiy universitet im. G.F. Morozova, 2023. – S. 631-637. DOI: https://doi.org/10.58168/Forestry2023_631-637; EDN: https://elibrary.ru/WGFTPI
3. Razrabotka sistemy preduprezhdeniya voditeley o vozmozhnom poyavlenii zhivotnyh na avtomobil'nyh dorogah / A. S. Yagodkin, T. V. Skvorcova, A. V. Achkasov [i dr.] // Ohrana, innovacionnoe vosstanovlenie i ustoychivoe upravlenie lesami. Forestry – 2023 : materialy Mezhdunarodnogo lesnogo foruma, Voronezh, 13 oktyabrya 2023 goda. – Voronezh: Voronezhskiy gosudarstvennyy lesotehnicheskiy universitet im. G.F. Morozova, 2023. – S. 638-643. DOI: https://doi.org/10.58168/Forestry2023_638-643; EDN: https://elibrary.ru/PBHBSK
4. Cifrovoe ustroystvo monitoringa i analiza obschego sostoyaniya dereva "Happytree" / A. S. Yagodkin, T. V. Skvorcova, A. V. Achkasov, D. V. Nikitin // SPOSOBY, MODELI i ALGORITMY UPRAVLENIYa MODERNIZACIONNYMI PROCESSAMI : sbornik statey Nacional'noy (Vserossiyskoy) nauchno-prakticheskoy konferencii s mezhdunarodnym uchastiem, Kirov, 22 maya 2023 goda. – Ufa: Obschestvo s ogranichennoy otvetstvennost'yu "OMEGA SAYNS", 2023. – S. 51-55. EDN: https://elibrary.ru/YCOJFC
5. Komp'yuternoe modelirovanie rabotosposobnosti finishnyh procedur i parazitnyh elementov v programmno-apparatnom komplekse proektirovaniya mikroshem / A. S. Yagodkin, N. N. Litvinov, P. S. Ivanin, A. S. Groshev // Modelirovanie sistem i processov. – 2024. – T. 17, № 3. – S. 106-115. DOI: https://doi.org/10.12737/2219-0767-2024-104-113; EDN: https://elibrary.ru/NICLOY
6. Sumin, V. I. Razrabotka setevoy modeli celevyh ustanovok slozhnyh organizacionnyh sistem special'nogo naznacheniya / V. I. Sumin, A. S. Kravchenko, S. V. Rodin // Modelirovanie sistem i processov. – 2024. – T. 17, № 3. – S. 79-87. – DOIhttps://doi.org/10.12737/2219-0767-2024-77-85. – EDN QIRWOK.
7. Titov, M. Yu. Processy upravleniya v vysokonadezhnyh sistemah special'nogo i dvoynogo naznacheniya / M. Yu. Titov // Modelirovanie sistem i processov. – 2024. – T. 17, № 3. – S. 87-95. – DOIhttps://doi.org/10.12737/2219-0767-2024-85-93. – EDN BYIKFT.
