Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
A. T. Il’ichev, A. S. Savin, A. Yu. Shashkov
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引用次数: 0

Abstract

We consider a liquid layer of a finite depth described by Euler’s equations. The ice cover is geometrically modeled by a nonlinear elastic Kirchhoff–Love plate. We determine the trajectories of liquid particles under an ice cover in the field of a nonlinear surface traveling wave rapidly decaying at infinity, namely, a solitary wave packet (a monochromatic wave under the envelope, with the wave velocity equal to the envelope velocity) of a small but finite amplitude. Our analysis is based on the use of explicit asymptotic expressions for solutions describing the wave structures at the water–ice interface of a solitary wave packet type, as well as asymptotic solutions for the velocity field generated by these waves in the depth of the liquid.

冰盖下液层中非线性波包场中的粒子运动
摘要 我们考虑了用欧拉方程描述的有限深度液层。冰盖的几何模型是非线性弹性基尔霍夫-洛夫板。我们确定了冰盖下液体粒子在无穷大处快速衰减的非线性表面行波场中的轨迹,即振幅很小但有限的孤波包(包络下的单色波,波速等于包络速度)。我们的分析基于描述孤波包类型水冰界面波结构的解的显式渐近表达式,以及这些波在液体深度产生的速度场的渐近解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Theoretical and Mathematical Physics
Theoretical and Mathematical Physics 物理-物理:数学物理
CiteScore
1.60
自引率
20.00%
发文量
103
审稿时长
4-8 weeks
期刊介绍: Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.
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