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Hokkaido University Preprint Series in Mathematics >
On global weak solutions of the nonstationary two-phase Stokes flow
| Title: | On global weak solutions of the nonstationary two-phase Stokes flow |
| Authors: | Giga, Yoshikazu Browse this author | | Takahashi, Shuji Browse this author |
| Keywords: | global solutions | | two-phase Stokes system | | interface equation | | generalized evolution | | upper semicontinuous convexifi.cation |
| Issue Date: | May-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 149 |
| Start Page: | 2 |
| End Page: | 25 |
| Abstract: | A global-in-time weak solution of the nonstationary two-phase Stokes flow is constructed for arbitrary given initial domains (under periodic boundary condition) when two viscosities are close. Our solution tracks the evolution of the interface after it develops singularities. The theory of viscosity solutions is adapted to solve the interface equation. Surface tension effects are ignored here. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68895 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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