The Cauchy–Poisson Problem for Fluid with an Ice Cover in the Presence of Shear Current (Two-Dimensional Case)

The Cauchy–Poisson Problem for Fluid with an Ice Cover in the Presence of Shear Current (Two-Dimensional Case) Full article

Journal

Fluid Dynamics
ISSN: 0015-4628

Output data

Year: 2022, Volume: 57, Number: 1, Pages: 45-54 Pages count : 10 DOI: 10.1134/s0015462822010104

Tags

compressive forces; evolution of an initial perturbation; flexural-gravity waves; floating elastic plate; shear flow

Authors

Sturova I.V. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

The two-dimensional time-dependent problem of evolution of an initial perturbation in fluid with an ice cover floating on the fluid surface is solved in the linear formulation. In the undisturbed state the longitudinal fluid velocity varies linearly with depth. The ice cover is simulated by a thin elastic plate with taking into account the compressive forces. The integral representation of solution that describes the behavior of the ice cover is constructed. Asymptotics of this solution for large times which make it possible to describe the far fields of perturbations both in the neighborhood and far from the wave front are obtained.

Sturova I.V.
The Cauchy–Poisson Problem for Fluid with an Ice Cover in the Presence of Shear Current (Two-Dimensional Case)
Fluid Dynamics. 2022. V.57. N1. P.45-54. DOI: 10.1134/s0015462822010104 WOS Scopus РИНЦ OpenAlex

Стурова И.В.
ЗАДАЧА КОШИ–ПУАССОНА ДЛЯ ЖИДКОСТИ С ЛЕДЯНЫМ ПОКРОВОМ ПРИ НАЛИЧИИ СДВИГОВОГО ТЕЧЕНИЯ (ДВУМЕРНЫЙ СЛУЧАЙ)
Известия Российской академии наук. Механика жидкости и газа. 2022. N1. P.47-56. DOI: 10.31857/s0568528122010108 РИНЦ OpenAlex

Web of science:	WOS:000770646700005
Scopus:	2-s2.0-85126778096
Elibrary:	48193603
OpenAlex:	W4220750811

DB	Citing
Scopus	3
OpenAlex	4
Elibrary	4
Web of science	4