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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}
Linking options:
  • https://www.mathnet.ru/eng/pmtf376
  • https://www.mathnet.ru/eng/pmtf/v60/i6/p90
    • This publication is cited in the following 3 articles:
    1. V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “Investigation of the three-dimensional Helmholtz equation for a wedge using the block element method”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 717–722  mathnet  crossref  crossref  elib
    2. V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “ON THE DECOMPOSITION OF SOLUTIONS OF SCALAR BOUNDARY VALUE PROBLEMS IN MECHANICS IN TERMS OF BLOCK ELEMENTS”, Mech. Solids, 56:6 (2021), 895  crossref
    3. V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “On a Method for Solving Boundary Value Problems of the Dynamical Theory of Elasticity in a Quarter Plane”, Mech. Solids, 56:7 (2021), 1373  crossref
    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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