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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Short communications
On the solution to a two-dimensional heat conduction problem in a degenerate domain
M. T. Jenaliyeva, M. I. Ramazanovb, M. T. Kosmakovab, Zh. M. Tuleutaevab a Institute of Mathematics and Mathematical Modeling,
125 Pushkin St,
050010 Almaty, Kazakhstan
b Buketov Karaganda State University,
28 Universitetskaya St,
100028 Karaganda, Kazakhstan
Аннотация:
In a degenerate domain, namely, the inverted cone, we consider a boundary value problem of heat conduction. For this problem the solvability theorems are established in weighted spaces of essentially bounded functions. The proofs of the theorems are based on the results of the solvability for a nonhomogeneous integral equation of the third kind. The problem under study is reduced to the study of this integral equation using the representation of the solution to the boundary value problem in the form of a sum of constructed thermal potentials.
Ключевые слова и фразы:
fundamental solution, axial symmetry, modified Bessel function.
Поступила в редакцию: 12.12.2019
Образец цитирования:
M. T. Jenaliyev, M. I. Ramazanov, M. T. Kosmakova, Zh. M. Tuleutaeva, “On the solution to a two-dimensional heat conduction problem in a degenerate domain”, Eurasian Math. J., 11:3 (2020), 89–94
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj377 https://www.mathnet.ru/rus/emj/v11/i3/p89
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Страница аннотации: | 141 | PDF полного текста: | 71 | Список литературы: | 14 |
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