On singularities of capillary surfaces in the absence of gravity
We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculat...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000058 |
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| _version_ | 1832546567214596096 |
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| author | V. Roytburd |
| author_facet | V. Roytburd |
| author_sort | V. Roytburd |
| collection | DOAJ |
| description | We study numerical solutions to the equation of capillary surfaces in
trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations. |
| format | Article |
| id | doaj-art-e9157c2e3cd248b8a89f737a6046c4d5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e9157c2e3cd248b8a89f737a6046c4d52025-02-03T06:48:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-0161818710.1155/S0161171283000058On singularities of capillary surfaces in the absence of gravityV. Roytburd0Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, USAWe study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.http://dx.doi.org/10.1155/S0161171283000058capillarityconstant mean cuevaturecritical contact angles. |
| spellingShingle | V. Roytburd On singularities of capillary surfaces in the absence of gravity International Journal of Mathematics and Mathematical Sciences capillarity constant mean cuevature critical contact angles. |
| title | On singularities of capillary surfaces in the absence of gravity |
| title_full | On singularities of capillary surfaces in the absence of gravity |
| title_fullStr | On singularities of capillary surfaces in the absence of gravity |
| title_full_unstemmed | On singularities of capillary surfaces in the absence of gravity |
| title_short | On singularities of capillary surfaces in the absence of gravity |
| title_sort | on singularities of capillary surfaces in the absence of gravity |
| topic | capillarity constant mean cuevature critical contact angles. |
| url | http://dx.doi.org/10.1155/S0161171283000058 |
| work_keys_str_mv | AT vroytburd onsingularitiesofcapillarysurfacesintheabsenceofgravity |