| Language |
English
|
| From |
2011/01/28 14:30
|
| To |
2011/01/28 15:30
|
| Place | Room 251 Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
Wave breaking phenomena and solitary waves for a generalized two-component Camassa-Holm system |
| Field |
Analysis
|
| Speakers | Yue Lie |
| Affiliation | - |
| Abstract | In this talk I propose and analyze a generalized two-component Camassa-Holm system which can be derived
from the theory of shallow water waves moving over a linear shear flow.
This new system also generalizes a class of dispersive waves in cylindrical compressible hyperelastic rods.
I will show in the first part of the talk
that this new system can still exhibit the wave-breaking phenomenon.
I also establish a sufficient condition for global solutions. In the second part of the talk,
I will study the solitary wave solutions of the generalized two-component Camassa-Holm system.
In addition to those smooth solitary-wave solutions,
I will show that there are solitary waves with singularities:
peaked and cusped solitary waves. I also demonstrate that all smooth solitary waves
are orbitally stable in the energy space. |
| Link | http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |
|