Study of quasilinear degenerate Keller-Segel systems and complex Ginzburg-Landau type equations'
| Project/Area Number |
25400119
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
Yokota Tomomi 東京理科大学, 理学部, 准教授 (60349826)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 解の存在 / 解の漸近挙動 / ケラー・シーゲル系 / 複素ギンツブルク・ランダウ方程式 / 解の有界性 / 解の消滅 / 解の挙動 / 国際研究者交流（ドイツ） |
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| Outline of Final Research Achievements |
In this research, we made mathematical analysis to ``Global-in-time solvability and asymptotic behavior of solutions in quasilinear degenerate Keller-Segel systems'' and `` Global-in-time solvability and asymptotic behavior of solutions in complex Ginzburg-Landau type equations'' as main themes. The equations dealt with in these two themes are formally different, but there is a common in terms of parabolic equations. As to the former theme, we not only succeeded in showing boundedness of solutions left as an open problem but also obtained the same results for related equations. As to the latter theme, we succeeded in obtaining a precise result on blow-up and extinction of solutions.
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Report
(4 results)
Research Products
(24 results)
