| 発表言語 |
英語
|
| 開催日 |
2013年10月15日 17時00分
|
| 終了日 |
2013年10月15日 18時30分
|
| 開催場所 | 京都大学理学部6号館809号室 |
| セミナー名 | 京都大学応用数学セミナー（KUAMS） |
| タイトル |
Interfacial dynamics and free boundary problems for oscillating membrane motions |
| 分野 |
解析
その他
|
| 講演者名 | Elliott Ginder |
| 講演者所属 | RIES, Hokkaido University |
| 概要 | We will present results on a model equation related to droplet and bubble motions. The target equation is a hyperbolic free boundary problem with volume and contact angle constraints. By constructing a minimizing movement, we are able to approximate the evolution and we show how to obtain the convergence to a weak solution in the one-dimensional (spatial) setting. A different approach is needed for the case of "overhanging" contact angles, and so we have developed an approximation method, using thresholding dynamics, for computing motion by multiphase, volume preserving, mean curvature flow (with prescribed contact angles). Since this approach only specifies the velocity of the interface, we will also consider the case where the interface is allowed to oscillate. The numerical methods for our approximation schemes have also been constructed and we would also like to show the numerical results of their implementation. This is joint work with K. Svadlenka. |
| 備考 | 本セミナーは坂上クレスト連携セミナーとしても開催されます． |
| リンク | https://www.math.kyoto-u.ac.jp/~sakajo/KUAMS/kuams-j.html |
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