A general asymptotic dynamic model for Lipschitzian elastic curved rods
We study the asymptotic behaviour of solutions to the linear evolution problem for clamped curved rods with the small thickness ε under minimal regularity assumptions on the geometry. In addition, nonconstant density of the curved rods is considered.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.425 |
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| _version_ | 1832555100110848000 |
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| author | Rostislav Vodák |
| author_facet | Rostislav Vodák |
| author_sort | Rostislav Vodák |
| collection | DOAJ |
| description | We study the asymptotic behaviour of solutions to the linear
evolution problem for clamped curved rods with the
small thickness ε under minimal regularity assumptions
on the geometry. In addition, nonconstant density of the curved
rods is considered. |
| format | Article |
| id | doaj-art-314ffd3e87ae4790926e9b606f94cec5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-314ffd3e87ae4790926e9b606f94cec52025-02-03T05:49:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005442545110.1155/JAM.2005.425A general asymptotic dynamic model for Lipschitzian elastic curved rodsRostislav Vodák0Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacky University, Tř. Svobody 26, Olomouc 772 00, Czech RepublicWe study the asymptotic behaviour of solutions to the linear evolution problem for clamped curved rods with the small thickness ε under minimal regularity assumptions on the geometry. In addition, nonconstant density of the curved rods is considered.http://dx.doi.org/10.1155/JAM.2005.425 |
| spellingShingle | Rostislav Vodák A general asymptotic dynamic model for Lipschitzian elastic curved rods Journal of Applied Mathematics |
| title | A general asymptotic dynamic model for Lipschitzian elastic curved rods |
| title_full | A general asymptotic dynamic model for Lipschitzian elastic curved rods |
| title_fullStr | A general asymptotic dynamic model for Lipschitzian elastic curved rods |
| title_full_unstemmed | A general asymptotic dynamic model for Lipschitzian elastic curved rods |
| title_short | A general asymptotic dynamic model for Lipschitzian elastic curved rods |
| title_sort | general asymptotic dynamic model for lipschitzian elastic curved rods |
| url | http://dx.doi.org/10.1155/JAM.2005.425 |
| work_keys_str_mv | AT rostislavvodak ageneralasymptoticdynamicmodelforlipschitzianelasticcurvedrods AT rostislavvodak generalasymptoticdynamicmodelforlipschitzianelasticcurvedrods |