Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type
抄録
A Cauchy problem for a parabolic-elliptic system of drift-di usion type is considered. The problem is formally of the form Ut = r (rU Ur( )1U): This system describes a mass-conserving aggregation phenomenon including gravitational collapse and bacterial chemotaxis. Our concern is the asymptotic behavior of blowup solutions when the blowup is type I in the sense that its blowup rate is the same as the corresponding ordinary di erential equation yt = y2 (up to a multiple constant). It is shown that all type I blowup is asymptotically (backward) self-similar provided that the solution is radial, nonnegative when the blowup set is a singleton and the space dimension is greater than or equal to three. 2000 Mathematics Subject Classi cation. 35K55, 35K57, 92C17. 1
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 968 1-30, 2010-09-03
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390290699772163840
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- NII論文ID
- 120006459662
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- DOI
- 10.14943/84115
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- HANDLE
- 2115/69775
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
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