Finite-time blow-up in a degenerate chemotaxis system with flux limitation

Finite-time blow-up in a degenerate chemotaxis system with flux limitation
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DOI:
10.1090/btran/17
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发表时间:
2017-06
期刊:
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影响因子:
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通讯作者:
N. Bellomo;M. Winkler
N. Bellomo;M. Winkler
中科院分区:
其他
文献类型:
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作者:
N. Bellomo;M. Winkler

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本文研究了具有通量限制的抛物-椭圆型Keller-Segel方程组的径向对称解,方程为()<$u_(u2 +)|拉乌|2)− χ·(u v 1 +|吉夫|2),
This paper is concerned with radially symmetric solutions of the parabolic-elliptic version of the Keller-Segel system with flux limitation, as given by ( ) ⎧⎨ ⎩ ut = ∇ · ( u∇u √ u2 + |∇u|2 ) − χ∇ · ( u∇v √ 1 + |∇v|2 ) ,