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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 6, Pages 90–96
DOI: https://doi.org/10.15372/PMTF20190610 (Mi pmtf376) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Problem of studying the acoustic and hydrodynamic properties of the medium occupying a region shaped as a three-dimensional rectangular wedge

V. A. Babeshkoa, O. V. Evdokimovaa, O. M. Babeshkob

a Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, 344006, Russia
b Kuban State University, Krasnodar, 350040, Russia
Full-text PDF (203 kB) Citations (3)
DOI: https://doi.org/10.15372/PMTF20190610
Abstract: A boundary-value problem for a three-dimensional Helmholtz equation in a region shaped as a rectangular wedge of infinite extent is under consideration. An exact solution to this boundary-value problem is constructed in the form of a packed block element necessary for investigating more complex and even mixed problems for block structures. The conjugation of packed blocks into a block structure is carried out by constructing quotient topologies of the topological spaces of blocks, and the equivalence relations are interblock boundary conditions.
Keywords: block element method, boundary-value problem, automorphism, pseudo-differential equations, wedge-shaped region.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 9.8753.2017/8.9
Southern Scientific Center of Russian Academy of Sciences 01201354241
Russian Academy of Sciences - Federal Agency for Scientific Organizations I-16
I-52
Russian Foundation for Basic Research 19-41-230003
19-41-230004
19-48-230014
17-08-00323
18-08-00465
18-01-00384
18-05-80008
Received: 07.06.2019
Revised: 07.06.2019
Accepted: 24.06.2019
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 6, Pages 1054–1059
DOI: https://doi.org/10.1134/S0021894419060105
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “Problem of studying the acoustic and hydrodynamic properties of the medium occupying a region shaped as a three-dimensional rectangular wedge”, Prikl. Mekh. Tekh. Fiz., 60:6 (2019), 90–96; J. Appl. Mech. Tech. Phys., 60:6 (2019), 1054–1059
Citation in format AMSBIB
\Bibitem{BabEvdBab19}
\by V.~A.~Babeshko, O.~V.~Evdokimova, O.~M.~Babeshko
\paper Problem of studying the acoustic and hydrodynamic properties of the medium occupying a region shaped as a three-dimensional rectangular wedge
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 6
\pages 90--96
\mathnet{http://mi.mathnet.ru/pmtf376}
\crossref{https://doi.org/10.15372/PMTF20190610}
\elib{https://elibrary.ru/item.asp?id=41444467}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 6
\pages 1054--1059
\crossref{https://doi.org/10.1134/S0021894419060105}
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  • https://www.mathnet.ru/eng/pmtf/v60/i6/p90
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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