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The variational formulation of the fully parabolic Keller-Segel system with degenerate diffusion
https://doi.org/10.15083/00005639
https://doi.org/10.15083/000056399441a25e-33e3-40fb-9b75-27b31396f30a
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MimuraY_24_9_PhD_a.pdf (1.7 MB)
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MimuraY_24_9_PhD_b.pdf (292.6 kB)
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||
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公開日 | 2014-07-15 | |||||
タイトル | ||||||
タイトル | The variational formulation of the fully parabolic Keller-Segel system with degenerate diffusion | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_46ec | |||||
タイプ | thesis | |||||
ID登録 | ||||||
ID登録 | 10.15083/00005639 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | 退化拡散項を持つ完全放物型Keller-Segel系に対する変分的定式化 | |||||
著者 |
Mimura, Yoshifumi
× Mimura, Yoshifumi |
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著者別名 | ||||||
識別子 | 11747 | |||||
識別子Scheme | WEKO | |||||
姓名 | 三村, 与士文 | |||||
著者所属 | ||||||
著者所属 | 東京大学大学院数理科学研究科 | |||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
Abstract | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We prove the time global existence of solutions of the degenerate Keller-Segel system, under the assumption that the mass of the first component is below a certain critical value. What we deal with is the full parabolic-parabolic system rather than the simplified parabolic-elliptic system. Our approach is to formulate the problem as a gradient flow on the Wasserstein space -- a new approach for the parabolic-parabolic system. | |||||
書誌情報 | 発行日 2012-09-27 | |||||
学位名 | ||||||
学位名 | 博士(数理科学) | |||||
学位 | ||||||
値 | doctoral | |||||
学位分野 | ||||||
Mathematical Sciences (数理科学) | ||||||
学位授与機関 | ||||||
学位授与機関名 | University of Tokyo (東京大学) | |||||
研究科・専攻 | ||||||
Graduate School of Mathematical Sciences (数理科学研究科) | ||||||
学位授与年月日 | ||||||
学位授与年月日 | 2012-09-27 |