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Unsteady waves on an open two layer fluid
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| Zeitschriftentitel: | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
|---|---|
| Personen und Körperschaften: | |
| In: | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 26, 1984, 2, S. 183-199 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Cambridge University Press (CUP)
|
| Schlagwörter: |
| author_facet |
Sharp, P. W. Sharp, P. W. |
|---|---|
| author |
Sharp, P. W. |
| spellingShingle |
Sharp, P. W. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics Unsteady waves on an open two layer fluid Applied Mathematics |
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sharp, p. w. |
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Sharp, P. W. 0334-2700 1839-4078 Cambridge University Press (CUP) Applied Mathematics http://dx.doi.org/10.1017/s0334270000004446 <jats:title>Abstract</jats:title><jats:p>The evolution of small amplitude waves on an open two layer fluid is investigated. The spatially periodic surface and interface displacements are represented as Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Solutions to these equations are found analytically for a small number of harmonics, and numerically for a larger number of harmonics. Two numerical solutions are given to illustrate the evolution properties.</jats:p> Unsteady waves on an open two layer fluid The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
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Cambridge University Press (CUP), 1984 |
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Cambridge University Press (CUP), 1984 |
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0334-2700 1839-4078 |
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1984 |
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The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
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| title |
Unsteady waves on an open two layer fluid |
| title_unstemmed |
Unsteady waves on an open two layer fluid |
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Unsteady waves on an open two layer fluid |
| title_fullStr |
Unsteady waves on an open two layer fluid |
| title_full_unstemmed |
Unsteady waves on an open two layer fluid |
| title_short |
Unsteady waves on an open two layer fluid |
| title_sort |
unsteady waves on an open two layer fluid |
| topic |
Applied Mathematics |
| url |
http://dx.doi.org/10.1017/s0334270000004446 |
| publishDate |
1984 |
| physical |
183-199 |
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<jats:title>Abstract</jats:title><jats:p>The evolution of small amplitude waves on an open two layer fluid is investigated. The spatially periodic surface and interface displacements are represented as Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Solutions to these equations are found analytically for a small number of harmonics, and numerically for a larger number of harmonics. Two numerical solutions are given to illustrate the evolution properties.</jats:p> |
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| container_title | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| container_volume | 26 |
| description | <jats:title>Abstract</jats:title><jats:p>The evolution of small amplitude waves on an open two layer fluid is investigated. The spatially periodic surface and interface displacements are represented as Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Solutions to these equations are found analytically for a small number of harmonics, and numerically for a larger number of harmonics. Two numerical solutions are given to illustrate the evolution properties.</jats:p> |
| doi_str_mv | 10.1017/s0334270000004446 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAxNy9zMDMzNDI3MDAwMDAwNDQ0Ng |
| imprint | Cambridge University Press (CUP), 1984 |
| imprint_str_mv | Cambridge University Press (CUP), 1984 |
| institution | DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1 |
| issn | 0334-2700, 1839-4078 |
| issn_str_mv | 0334-2700, 1839-4078 |
| language | English |
| last_indexed | 2024-03-01T10:54:29.535Z |
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| physical | 183-199 |
| publishDate | 1984 |
| publishDateSort | 1984 |
| publisher | Cambridge University Press (CUP) |
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| recordtype | ai |
| series | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| source_id | 49 |
| spelling | Sharp, P. W. 0334-2700 1839-4078 Cambridge University Press (CUP) Applied Mathematics http://dx.doi.org/10.1017/s0334270000004446 <jats:title>Abstract</jats:title><jats:p>The evolution of small amplitude waves on an open two layer fluid is investigated. The spatially periodic surface and interface displacements are represented as Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Solutions to these equations are found analytically for a small number of harmonics, and numerically for a larger number of harmonics. Two numerical solutions are given to illustrate the evolution properties.</jats:p> Unsteady waves on an open two layer fluid The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| spellingShingle | Sharp, P. W., The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Unsteady waves on an open two layer fluid, Applied Mathematics |
| title | Unsteady waves on an open two layer fluid |
| title_full | Unsteady waves on an open two layer fluid |
| title_fullStr | Unsteady waves on an open two layer fluid |
| title_full_unstemmed | Unsteady waves on an open two layer fluid |
| title_short | Unsteady waves on an open two layer fluid |
| title_sort | unsteady waves on an open two layer fluid |
| title_unstemmed | Unsteady waves on an open two layer fluid |
| topic | Applied Mathematics |
| url | http://dx.doi.org/10.1017/s0334270000004446 |