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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| Veröffentlicht in: | Нелинейные граничные задачи |
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| Datum: | 2003 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169203 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723844369809408 |
|---|---|
| author | Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. |
| author_facet | Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. |
| 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. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| 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.
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| first_indexed | 2025-12-07T18:43:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169203 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T18:43:38Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. 2020-06-08T10:58:59Z 2020-06-08T10:58:59Z 2003 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 https://nasplib.isofts.kiev.ua/handle/123456789/169203 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. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Higher asymptotic approximations for nonlinear internal waves in fluids Article published earlier |
| spellingShingle | Higher asymptotic approximations for nonlinear internal waves in fluids Selezov, I. Avramenko, O. Kharif, Ch. Trulsen, K. |
| title | 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_short | Higher asymptotic approximations for nonlinear internal waves in fluids |
| title_sort | higher asymptotic approximations for nonlinear internal waves in fluids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169203 |
| work_keys_str_mv | AT selezovi higherasymptoticapproximationsfornonlinearinternalwavesinfluids AT avramenkoo higherasymptoticapproximationsfornonlinearinternalwavesinfluids AT kharifch higherasymptoticapproximationsfornonlinearinternalwavesinfluids AT trulsenk higherasymptoticapproximationsfornonlinearinternalwavesinfluids |