2012 Fiscal Year Final Research Report
Long time behavior and singular limit for solution tononlinear dispersive equation
| Project/Area Number |
21740122
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | Tohoku University (2010-2012)
Fukuoka University of Education (2009) |
|---|
Principal Investigator |
SEGATA Jun-ichi 東北大学, 大学院・理学研究科, 准教授 (90432822)
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Keywords | 非線形現象 |
|---|
| Research Abstract |
We considered the long time behavior of solutions to nonlinear dispersive partial differential equations arises in various fields of physics and engineering. Especially, we focused on solvability, scattering problem, and the stability of some special solutions called standing waves for the higher order nonlinear Schrodinger type equation arising in context of the motion of vortex filament. We also studied the semiclassical limit of Schrodinger-KdV system which describes an interaction betweenlong and short waves.
|
