Global in time solution to the Hele-Shaw problem with a change of topology
The existence of classical solutions with a free boundary changing its topology in time is proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and monotonicity conditions on the problem data hold, then a cusp, arising at the contact between two free boundary component...
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| Veröffentlicht in: | European journal of applied mathematics 2002-08, Vol.13 (4), p.431-447 |
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| container_end_page | 447 |
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| container_issue | 4 |
| container_start_page | 431 |
| container_title | European journal of applied mathematics |
| container_volume | 13 |
| creator | MEIRMANOV, ANVARBEK M. ZALTZMAN, BORIS |
| description | The existence of classical solutions with a free boundary changing its topology in time is
proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and
monotonicity conditions on the problem data hold, then a cusp, arising at the contact between
two free boundary components, disappears instantly and the free boundary becomes smooth
and singly-connected. |
| doi_str_mv | 10.1017/S0956792502004874 |
| format | Article |
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proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and
monotonicity conditions on the problem data hold, then a cusp, arising at the contact between
two free boundary components, disappears instantly and the free boundary becomes smooth
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monotonicity conditions on the problem data hold, then a cusp, arising at the contact between
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proved for the multi-dimensional Hele-Shaw problem. We prove that, if some symmetry and
monotonicity conditions on the problem data hold, then a cusp, arising at the contact between
two free boundary components, disappears instantly and the free boundary becomes smooth
and singly-connected.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0956792502004874</doi><tpages>17</tpages></addata></record> |
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| identifier | ISSN: 0956-7925 |
| ispartof | European journal of applied mathematics, 2002-08, Vol.13 (4), p.431-447 |
| issn | 0956-7925 1469-4425 |
| language | eng |
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| source | Cambridge Journals |
| subjects | Applied mathematics |
| title | Global in time solution to the Hele-Shaw problem with a change of topology |
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