Three-dimensional cylindrically non-symmetric traveling fronts in reaction-diffusion equations
| Project/Area Number |
23540235
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | Okayama University (2013)
Tokyo Institute of Technology (2011-2012) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Project Status |
Completed (Fiscal Year 2013)
|
| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Keywords | 進行波 / 多次元 / 反応拡散方程式 / 非対称 / 軸非対称 / 角錐型 / 国際情報交換 / 中華人民共和国 / 大韓民国 / Allen-Cahn方程式 |
|---|
| Research Abstract |
The results are as follows. (1) We proved N-dimensional pyramidal traveling fronts in the Allen-Cahn (Nagumo) equation.(2) We consider the Allen-Cahn (Nagumo) equation in the three-dimensional space, and proved the existence and stability of cylindrically non-symmetric traveling fronts. The cross sections of these traveling fronts are smooth convex shapes, say, ellipses. (3) We prove the existence of N-dimensional pyramidal traveling fronts in competition-diffusion systems. (4) We prove the non-existence of localized traveling spots with non-zero speed in a single reaction-diffusion equation under some condition.
|
Report
(4 results)
Research Products
(34 results)
