Analysis of the Shape of Wave Packets in the "Half Space–Layer–Layer with Rigid Lid" Three-Layer Hydrodynamic System

Simple item page
dc.contributor.authorAvramenko, Olga
dc.contributor.authorLunyova, Мariia
dc.date.accessioned2023-04-20T11:48:36Z
dc.date.available2023-04-20T11:48:36Z
dc.date.issued2022
dc.description.abstractWe study the process of propagation of weakly nonlinear wave packets on the contact surfaces of a "half space–layer–layer with rigid lid" hydrodynamic system by the method of multiscale expansions. The solutions of the weakly nonlinear problem are obtained in the second approximation. The condition of solvability of this problem is established. For each frequency of the wave packet, we construct the domains of sign constancy for the coefficient for the second harmonic on the bottom and top contact surfaces. The regularities of wave formation are determined depending on the geometric and physical parameters of the hydrodynamic system. We also analyze the plots of the shapes of deviations of the bottom and top contact surfaces typical of the constructed domains of sign-constancy of the coefficient. We discover the domains where the waves become ∪ - and ∩ -shaped and reveal a significant influence of wavelength on the shapes of deviations of the contact surfaces of the analyzed hydrodynamic system.en_US
dc.identifier.citationAvramenko O. V. Analysis of the Shape of Wave Packets in the "Half Space–Layer–Layer with Rigid Lid" Three-Layer Hydrodynamic System / O. V. Avramenko, M. V. Lunyova // Journal of Mathematical Sciences. - 2022. - Vol. 263, No. 1. - P. 147-165. - https://doi.org/10.1007/s10958-022-05914-9en_US
dc.identifier.issn2644-3368
dc.identifier.urihttps://doi.org/10.1007/s10958-022-05914-9
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/25082
dc.language.isoen
dc.relation.sourceJournal of Mathematical Sciencesen_US
dc.statusfirst publisheduk_UA
dc.subjectwave packeten_US
dc.subjecthydrodynamic systemen_US
dc.subjectshape of deviation of the contact surfaceen_US
dc.subjectarticleen_US
dc.titleAnalysis of the Shape of Wave Packets in the "Half Space–Layer–Layer with Rigid Lid" Three-Layer Hydrodynamic Systemen_US
dc.typeArticleuk_UA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Avramenko_Lunyova_Analysis_of_the_Shape_of_Wave_Packets_in_the_Half_Space–Layer–Layer_with_Rigid_Lid_Three-Layer_Hydrodynamic_System.pdf
Size:
2.06 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Кафедра математики