2011 Fiscal Year Final Research Report
Study on stationary patterns and dynamics of parabolic partial differential equations arising in chemistry and biology
| Project/Area Number |
21740116
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 楕円型方程式 / 放物型方程式 / 非線形現象 |
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| Research Abstract |
We studied the number and the Morse indices of the solutions of nonlinear elliptic partial differential equations arising in chemistry and biology, and clarified the solution structures. We also made a detailed analysis of a peak moving along the boundary in Gierer-Meinhardt system.
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