Keller-Segel生物学方程组周期解的爆破

Abstract

Abstract: In this paper, we consider the blow up phenomenon of periodic solutions to the Cauchy problem for a class of Keller-Segel equations arising in biology. The initial data is assumed to be periodic and has a bounded total variations on a periodic interval. Then we are able to prove that the smooth periodic solutions of the Keller-Segel equations will blow up in finite time. Moreover, the lifespan for the solutions is also given.

Key words: Keller-Segel model, Chemotaxis, Periodic solution, Blow up, Lifespan

CLC Number:

O175.2

Duan Shuangshuang, Huang Shoujun. Blow up of Periodic Solutions for a Class of Keller-Segel Equations Arising in Biology[J].Acta mathematica scientia,Series A, 2017, 37(2): 326-341.

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References

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Blow up of Periodic Solutions for a Class of Keller-Segel Equations Arising in Biology

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