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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
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.
Received: 07.06.2019 Revised: 07.06.2019 Accepted: 24.06.2019
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
Linking options:
https://www.mathnet.ru/eng/pmtf376 https://www.mathnet.ru/eng/pmtf/v60/i6/p90
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