| 発表言語 |
英語
|
| 開催日 |
2011年06月03日 15時30分
|
| 終了日 |
2011年06月03日 17時30分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 251号室 |
| セミナー名 | NLPDEセミナー |
| タイトル |
Existence of recurrent traveling waves in a two-dimensional cylinder with undulating boundary --- the virtual pinning case |
| 分野 |
解析
|
| 講演者名 | Ken-ichi Nakamura |
| 講演者所属 | Kanazawa University |
| 概要 | In this talk we study traveling wave solutions
for a curvature-driven motion of plane curves
in a two-dimensional infinite cylinder with undulating boundary.
Here a traveling wave in non-periodic inhomogeneous media is defined
as a time-global solution whose shape is ''a continuous function of the current environment''.
Under suitable conditions on the boundary undulation
we show the existence of traveling waves which propagates
over the entire cylinder with zero lower average speed. Such a peculiar situation called ''virtual pinning''
never occurs if the boundary undulation is periodic. |
| リンク | https://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |