2011 Fiscal Year Final Research Report
On asymptotic behavior and interface curve of solution for Keller-Segel system of degenerate type
| Project/Area Number |
21540197
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Osaka City University (2011)
Tsuda College (2009-2010) |
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Principal Investigator |
SUGIYAMA Yoshie 大阪市立大学, 大学院・理学研究科, 教授 (60308210)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 退化型 / Keller-Segel系 / 爆発解 / 測度値解 |
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| Research Abstract |
Measure valued solution : The time global solution has been constructed for Keller-Segel system of semi-linear type by expanding the functional space to the measure valued solution.
Asymptotics : We have proved that the solution of Keller-Segel system behaves like a stationary solution asymptotically as time tends to infinity.
Uniqueness : We have established the functional space which the weak solution becomes unique.
Finite speed propagation : The existence of solution and the extinction phenomena has been proved for Keller-Segel system of singular type.
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