Analytic solution of an initial-value problem from Stokes flow with free boundary
We study an initial-value problem arising from Stokes flow with free boundary. If the initial data is analytic in disk $mathcal{R}_r$ containing the unit disk, it is proved that unique solution, which is analytic in $mathcal{R}_s$ for $sin (1,r)$, exists locally in time.
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| Format: | Article |
| Language: | English |
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Texas State University
2008-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/93/abstr.html |
| _version_ | 1818531207987593216 |
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| author | Xuming Xie |
| author_facet | Xuming Xie |
| author_sort | Xuming Xie |
| collection | DOAJ |
| description | We study an initial-value problem arising from Stokes flow with free boundary. If the initial data is analytic in disk $mathcal{R}_r$ containing the unit disk, it is proved that unique solution, which is analytic in $mathcal{R}_s$ for $sin (1,r)$, exists locally in time. |
| first_indexed | 2024-12-11T17:29:27Z |
| format | Article |
| id | doaj.art-e8635c4dccb4400abd10608843f60f73 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T17:29:27Z |
| publishDate | 2008-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e8635c4dccb4400abd10608843f60f732022-12-22T00:56:53ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-07-0120089319Analytic solution of an initial-value problem from Stokes flow with free boundaryXuming XieWe study an initial-value problem arising from Stokes flow with free boundary. If the initial data is analytic in disk $mathcal{R}_r$ containing the unit disk, it is proved that unique solution, which is analytic in $mathcal{R}_s$ for $sin (1,r)$, exists locally in time.http://ejde.math.txstate.edu/Volumes/2008/93/abstr.htmlStokes flowfree boundary problemanalytic solutionabstract Cauchy-Kovalevsky probleminitial-value problem |
| spellingShingle | Xuming Xie Analytic solution of an initial-value problem from Stokes flow with free boundary Electronic Journal of Differential Equations Stokes flow free boundary problem analytic solution abstract Cauchy-Kovalevsky problem initial-value problem |
| title | Analytic solution of an initial-value problem from Stokes flow with free boundary |
| title_full | Analytic solution of an initial-value problem from Stokes flow with free boundary |
| title_fullStr | Analytic solution of an initial-value problem from Stokes flow with free boundary |
| title_full_unstemmed | Analytic solution of an initial-value problem from Stokes flow with free boundary |
| title_short | Analytic solution of an initial-value problem from Stokes flow with free boundary |
| title_sort | analytic solution of an initial value problem from stokes flow with free boundary |
| topic | Stokes flow free boundary problem analytic solution abstract Cauchy-Kovalevsky problem initial-value problem |
| url | http://ejde.math.txstate.edu/Volumes/2008/93/abstr.html |
| work_keys_str_mv | AT xumingxie analyticsolutionofaninitialvalueproblemfromstokesflowwithfreeboundary |