{"title":"孤独弯曲重力波场中冰盖下的流体粒子轨迹","authors":"A. T. Il’ichev, A. S. Savin, A. Yu. Shashkov","doi":"10.1007/s11141-024-10334-7","DOIUrl":null,"url":null,"abstract":"<p>We consider a fluid layer of finite depth described by Euler equations. The ice cover is simulated by a geometrically nonlinear elastic Kirchhoff–Love plate. The trajectories of the fluid particles under the ice cover are found in the field of a nonlinear surface traveling wave rapidly decreasing at infinity. The analysis uses explicit asymptotic expressions for the solutions describing the wave structures of the type of a classical solitary wave with a small but finite amplitude on the water–ice interface Asymptotic solutions for the velocity field generated in the bulk of fluid by these waves are also used.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Trajectories of Fluid Particles Under an Ice Cover in the Field of a Solitary Bending-Gravity Wave\",\"authors\":\"A. T. Il’ichev, A. S. Savin, A. Yu. Shashkov\",\"doi\":\"10.1007/s11141-024-10334-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We consider a fluid layer of finite depth described by Euler equations. The ice cover is simulated by a geometrically nonlinear elastic Kirchhoff–Love plate. The trajectories of the fluid particles under the ice cover are found in the field of a nonlinear surface traveling wave rapidly decreasing at infinity. The analysis uses explicit asymptotic expressions for the solutions describing the wave structures of the type of a classical solitary wave with a small but finite amplitude on the water–ice interface Asymptotic solutions for the velocity field generated in the bulk of fluid by these waves are also used.</p>\",\"PeriodicalId\":748,\"journal\":{\"name\":\"Radiophysics and Quantum Electronics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Radiophysics and Quantum Electronics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11141-024-10334-7\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-024-10334-7","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Trajectories of Fluid Particles Under an Ice Cover in the Field of a Solitary Bending-Gravity Wave
We consider a fluid layer of finite depth described by Euler equations. The ice cover is simulated by a geometrically nonlinear elastic Kirchhoff–Love plate. The trajectories of the fluid particles under the ice cover are found in the field of a nonlinear surface traveling wave rapidly decreasing at infinity. The analysis uses explicit asymptotic expressions for the solutions describing the wave structures of the type of a classical solitary wave with a small but finite amplitude on the water–ice interface Asymptotic solutions for the velocity field generated in the bulk of fluid by these waves are also used.
期刊介绍:
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.