| Language |
English
|
| From |
2011/06/03 15:30
|
| To |
2011/06/03 17:30
|
| Place | Room 251, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
Existence of recurrent traveling waves in a two-dimensional cylinder with undulating boundary --- the virtual pinning case |
| Field |
Analysis
|
| Speakers | Ken-ichi Nakamura |
| Affiliation | Kanazawa University |
| Abstract | 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. |
| Link | http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |