The Basin of Attraction of the Steady-States for a Chemotaxis Model in $${\mathbb{R}^2}$$ with Critical Mass
The Basin of Attraction of the Steady-States for a Chemotaxis Model in $${\mathbb{R}^2}$$ with Critical Mass
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DOI：
10.1007/s00205-012-0560-1
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发表时间：
2013
影响因子：
2.5
通讯作者：
J. López-Gómez;T. Nagai;Tetsuya Yamada
中科院分区：
文献类型：
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作者：
J. López-Gómez;T. Nagai;Tetsuya Yamada
本文考虑抛物型椭圆型方程组的柯西问题，它是趋化性的数学模型，也是自吸引粒子的模型。在临界质量情况下，我们通过Lyapunov泛函确定柯西问题定态的吸引域。
We consider the Cauchy problem for a parabolic–elliptic system in, which is amathematical model of chemotaxis and also amodel of self-attracting particles. In the critical mass case, we determine the basin of attraction of the steady-states for the Cauchy problem through a Lyapunov functional.