Eintrag weiter verarbeiten
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth
Gespeichert in:
| Zeitschriftentitel: | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
|---|---|
| Personen und Körperschaften: | |
| In: | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 83, 2003, 3, S. 205-213 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
Bandyopadhyay, A. Bandyopadhyay, A. |
|---|---|
| author |
Bandyopadhyay, A. |
| spellingShingle |
Bandyopadhyay, A. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth Applied Mathematics Computational Mechanics |
| author_sort |
bandyopadhyay, a. |
| spelling |
Bandyopadhyay, A. 0044-2267 1521-4001 Wiley Applied Mathematics Computational Mechanics http://dx.doi.org/10.1002/zamm.200310020 <jats:title>Abstract</jats:title><jats:p>The three‐dimensional problem of waves due to an arbitrary initial time‐dependent surface pressure together with an elevation of the surface in a viscous fluid of constant finite depth <jats:italic>h</jats:italic> is examined. It is shown that the multiple‐integral expression for the surface displacement ζ is reducible to one which is correct to terms of order <jats:italic>O</jats:italic>(ν'), ν' = ν/(4<jats:italic>gh</jats:italic><jats:sup>3</jats:sup>)<jats:sup>1/2</jats:sup>, for small coefficient of viscosity ν, under certain conditions. When the Laplace inversion is completed in ζ we arrive at new results which differ significantly from those obtained in an earlier analysis of the problem by Nikitin and Potetyunko [1].</jats:p> Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| doi_str_mv |
10.1002/zamm.200310020 |
| facet_avail |
Online |
| finc_class_facet |
Mathematik Physik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAwMi96YW1tLjIwMDMxMDAyMA |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAwMi96YW1tLjIwMDMxMDAyMA |
| institution |
DE-Ch1 DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 |
| imprint |
Wiley, 2003 |
| imprint_str_mv |
Wiley, 2003 |
| issn |
0044-2267 1521-4001 |
| issn_str_mv |
0044-2267 1521-4001 |
| language |
English |
| mega_collection |
Wiley (CrossRef) |
| match_str |
bandyopadhyay2003effectsofviscosityonlineargravitywavesduetosurfacedisturbancesinwateroffinitedepth |
| publishDateSort |
2003 |
| publisher |
Wiley |
| recordtype |
ai |
| record_format |
ai |
| series |
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| source_id |
49 |
| title |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_unstemmed |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_full |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_fullStr |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_full_unstemmed |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_short |
Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_sort |
effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| topic |
Applied Mathematics Computational Mechanics |
| url |
http://dx.doi.org/10.1002/zamm.200310020 |
| publishDate |
2003 |
| physical |
205-213 |
| description |
<jats:title>Abstract</jats:title><jats:p>The three‐dimensional problem of waves due to an arbitrary initial time‐dependent surface pressure together with an elevation of the surface in a viscous fluid of constant finite depth <jats:italic>h</jats:italic> is examined. It is shown that the multiple‐integral expression for the surface displacement ζ is reducible to one which is correct to terms of order <jats:italic>O</jats:italic>(ν'), ν' = ν/(4<jats:italic>gh</jats:italic><jats:sup>3</jats:sup>)<jats:sup>1/2</jats:sup>, for small coefficient of viscosity ν, under certain conditions. When the Laplace inversion is completed in ζ we arrive at new results which differ significantly from those obtained in an earlier analysis of the problem by Nikitin and Potetyunko [1].</jats:p> |
| container_issue |
3 |
| container_start_page |
205 |
| container_title |
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| container_volume |
83 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792336129772486658 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T14:55:33.009Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Effects+of+viscosity+on+linear+gravity+waves+due+to+surface+disturbances+in+water+of+finite+depth&rft.date=2003-03-20&genre=article&issn=1521-4001&volume=83&issue=3&spage=205&epage=213&pages=205-213&jtitle=ZAMM+-+Journal+of+Applied+Mathematics+and+Mechanics+%2F+Zeitschrift+f%C3%BCr+Angewandte+Mathematik+und+Mechanik&atitle=Effects+of+viscosity+on+linear+gravity+waves+due+to+surface+disturbances+in+water+of+finite+depth&aulast=Bandyopadhyay&aufirst=A.&rft_id=info%3Adoi%2F10.1002%2Fzamm.200310020&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792336129772486658 |
| author | Bandyopadhyay, A. |
| author_facet | Bandyopadhyay, A., Bandyopadhyay, A. |
| author_sort | bandyopadhyay, a. |
| container_issue | 3 |
| container_start_page | 205 |
| container_title | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| container_volume | 83 |
| description | <jats:title>Abstract</jats:title><jats:p>The three‐dimensional problem of waves due to an arbitrary initial time‐dependent surface pressure together with an elevation of the surface in a viscous fluid of constant finite depth <jats:italic>h</jats:italic> is examined. It is shown that the multiple‐integral expression for the surface displacement ζ is reducible to one which is correct to terms of order <jats:italic>O</jats:italic>(ν'), ν' = ν/(4<jats:italic>gh</jats:italic><jats:sup>3</jats:sup>)<jats:sup>1/2</jats:sup>, for small coefficient of viscosity ν, under certain conditions. When the Laplace inversion is completed in ζ we arrive at new results which differ significantly from those obtained in an earlier analysis of the problem by Nikitin and Potetyunko [1].</jats:p> |
| doi_str_mv | 10.1002/zamm.200310020 |
| facet_avail | Online |
| finc_class_facet | Mathematik, Physik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAwMi96YW1tLjIwMDMxMDAyMA |
| imprint | Wiley, 2003 |
| imprint_str_mv | Wiley, 2003 |
| institution | DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14 |
| issn | 0044-2267, 1521-4001 |
| issn_str_mv | 0044-2267, 1521-4001 |
| language | English |
| last_indexed | 2024-03-01T14:55:33.009Z |
| match_str | bandyopadhyay2003effectsofviscosityonlineargravitywavesduetosurfacedisturbancesinwateroffinitedepth |
| mega_collection | Wiley (CrossRef) |
| physical | 205-213 |
| publishDate | 2003 |
| publishDateSort | 2003 |
| publisher | Wiley |
| record_format | ai |
| recordtype | ai |
| series | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| source_id | 49 |
| spelling | Bandyopadhyay, A. 0044-2267 1521-4001 Wiley Applied Mathematics Computational Mechanics http://dx.doi.org/10.1002/zamm.200310020 <jats:title>Abstract</jats:title><jats:p>The three‐dimensional problem of waves due to an arbitrary initial time‐dependent surface pressure together with an elevation of the surface in a viscous fluid of constant finite depth <jats:italic>h</jats:italic> is examined. It is shown that the multiple‐integral expression for the surface displacement ζ is reducible to one which is correct to terms of order <jats:italic>O</jats:italic>(ν'), ν' = ν/(4<jats:italic>gh</jats:italic><jats:sup>3</jats:sup>)<jats:sup>1/2</jats:sup>, for small coefficient of viscosity ν, under certain conditions. When the Laplace inversion is completed in ζ we arrive at new results which differ significantly from those obtained in an earlier analysis of the problem by Nikitin and Potetyunko [1].</jats:p> Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| spellingShingle | Bandyopadhyay, A., ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth, Applied Mathematics, Computational Mechanics |
| title | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_full | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_fullStr | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_full_unstemmed | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_short | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_sort | effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| title_unstemmed | Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth |
| topic | Applied Mathematics, Computational Mechanics |
| url | http://dx.doi.org/10.1002/zamm.200310020 |