Higher asymptotic approximations for nonlinear internal waves in fluids
Nonlinear problems of wave-packet propagation along the interface between the two fluids of different densities with taking into account the surface tension are investigated. Two problems are considered, the one for two half-spaces, the another for the layer over a half-space. Asymptotic solutions a...
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| Дата: | 2003 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169203 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Higher asymptotic approximations for nonlinear internal waves in fluids / I. Selezov, O. Avramenko, Ch. Kharif, K. Trulsen // Нелинейные граничные задачи. — 2003. — Т. 13. — С. 141-148. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169203 |
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irk-123456789-1692032020-06-09T01:25:57Z Higher asymptotic approximations for nonlinear internal waves in fluids Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. Nonlinear problems of wave-packet propagation along the interface between the two fluids of different densities with taking into account the surface tension are investigated. Two problems are considered, the one for two half-spaces, the another for the layer over a half-space. Asymptotic solutions are developed on the basis of the method of multiple scale expansions. Unlike previous investigations dealing with only three approximations in this paper four asymptotic approximations have been developed by using symbolic algebra. The evolution equations are obtained in the form of the nonlinear higher-order Schrodinger equations. The stability of solutions is investigated. As a result, the new region of stability for capillary waves and the new region of instability for gravity waves have been discovered in the case of the layer of finite thickness unlike the case of two fluid half-spaces. 2003 Article Higher asymptotic approximations for nonlinear internal waves in fluids / I. Selezov, O. Avramenko, Ch. Kharif, K. Trulsen // Нелинейные граничные задачи. — 2003. — Т. 13. — С. 141-148. — Бібліогр.: 17 назв. — англ. 0236-0497 http://dspace.nbuv.gov.ua/handle/123456789/169203 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Nonlinear problems of wave-packet propagation along the interface between the two fluids of different densities with taking into account the surface tension are investigated. Two problems are considered, the one for two half-spaces, the another for the layer over a half-space. Asymptotic solutions are developed on the basis of the method of multiple scale expansions. Unlike previous investigations dealing with only three approximations in this paper four asymptotic approximations have been developed by using symbolic algebra. The evolution equations are obtained in the form of the nonlinear higher-order Schrodinger equations. The stability of solutions is investigated. As a result, the new region of stability for capillary waves and the new region of instability for gravity waves have been discovered in the case of the layer of finite thickness unlike the case of two fluid half-spaces. |
| format |
Article |
| author |
Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. |
| spellingShingle |
Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. Higher asymptotic approximations for nonlinear internal waves in fluids Нелинейные граничные задачи |
| author_facet |
Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. |
| author_sort |
Selezov, I. |
| title |
Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_short |
Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_full |
Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_fullStr |
Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_full_unstemmed |
Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_sort |
higher asymptotic approximations for nonlinear internal waves in fluids |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169203 |
| citation_txt |
Higher asymptotic approximations for nonlinear internal waves in fluids / I. Selezov, O. Avramenko, Ch. Kharif, K. Trulsen // Нелинейные граничные задачи. — 2003. — Т. 13. — С. 141-148. — Бібліогр.: 17 назв. — англ. |
| series |
Нелинейные граничные задачи |
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2023-10-18T22:24:40Z |
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