TY - JOUR

T1 - Топографический фактор и предельные переходы в уравнениях для субинерционных волн

AU - Гневышев, Владимир Григорьевич

AU - Травкин, Владимир Станиславович

AU - Белоненко, Татьяна Васильевна

PY - 2023/4/25

Y1 - 2023/4/25

N2 - In this paper, sub-inertial waves propagating on the Kuril shelf and the oceanic trench are considered. Against the background of a historical review of the beginning of the study of topographic waves and the appearance of relevant terms, a description of the features of wave propagation and the derivation of the main dispersion equations are given. We show that all variants of the topographic solutions presented in the article are basically based on the same dispersion relation: this is the dispersion relation for Rossby topographic waves. Two separate classes of localized solutions have been constructed: one is for the shelf, and the second, in fact, is also for the shelf, but which is commonly called trench waves. We demonstrate that the transverse wave number for trench waves is not independent, as for shelf waves, but is a function of the longitudinal wave number. In other words, Rossby topographic waves are two–dimensional waves, while shelf waves are quasi-one-dimensional solutions. The analytical novelty of the work consists of the fact that we can make crosslinking of trench and shelf waves. This fact was not presented in previous articles on this topic.

AB - In this paper, sub-inertial waves propagating on the Kuril shelf and the oceanic trench are considered. Against the background of a historical review of the beginning of the study of topographic waves and the appearance of relevant terms, a description of the features of wave propagation and the derivation of the main dispersion equations are given. We show that all variants of the topographic solutions presented in the article are basically based on the same dispersion relation: this is the dispersion relation for Rossby topographic waves. Two separate classes of localized solutions have been constructed: one is for the shelf, and the second, in fact, is also for the shelf, but which is commonly called trench waves. We demonstrate that the transverse wave number for trench waves is not independent, as for shelf waves, but is a function of the longitudinal wave number. In other words, Rossby topographic waves are two–dimensional waves, while shelf waves are quasi-one-dimensional solutions. The analytical novelty of the work consists of the fact that we can make crosslinking of trench and shelf waves. This fact was not presented in previous articles on this topic.

KW - crosslinking solutions

KW - ocean trench

KW - shelf

KW - shelf waves

KW - topographic waves

KW - trench waves

UR - https://www.mendeley.com/catalogue/2e92d11d-9b90-3e38-b506-d81743a1a08a/

U2 - 10.48612/fpg/92rg-6t7h-m4a2

DO - 10.48612/fpg/92rg-6t7h-m4a2

M3 - статья

VL - 16

SP - 8

EP - 23

JO - ФУНДАМЕНТАЛЬНАЯ И ПРИКЛАДНАЯ ГИДРОФИЗИКА

JF - ФУНДАМЕНТАЛЬНАЯ И ПРИКЛАДНАЯ ГИДРОФИЗИКА

SN - 2073-6673

IS - 1

ER -