Показать сокращенную информацию
dc.contributor.author | Alimov M. | |
dc.date.accessioned | 2018-09-18T20:34:31Z | |
dc.date.available | 2018-09-18T20:34:31Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/141291 | |
dc.description.abstract | A modification of Howison's method is proposed to construct exact nonstationary solutions of the unsteady two-phase Hele-Shaw problem (Muskat problem). The effectiveness of the modified method is demonstrated by reproducing D. Crowdy's exact solution for the evolution of an elliptic bubble of a viscous fluid surrounded by another fluid in an unbounded Hele-Shaw cell. This solution is found to be directly related to the explicit solution of the single-phase Hele-Shaw problem. A comparison of these solutions shows that allowance for the second phase leads to a weak regularizing effect: the single-phase solution exists over a finite time, while the two-phase solution exists over an infinite time under the same initial conditions. © 2011 Pleiades Publishing, Ltd. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | elliptic bubble | |
dc.subject | Muskat problem | |
dc.subject | unsteady two-phase Hele-Shaw problem | |
dc.title | Construction of exact solutions to the Muskat problem | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 4 | |
dc.relation.ispartofseries-volume | 32 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 404 | |
dc.source.id | SCOPUS19950802-2011-32-4-SID84862903637 |