On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
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DOI：
10.1016/j.jde.2012.08.028
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发表时间：
2012-12
影响因子：
2.4
通讯作者：
Y. Kagei;Yasunori Maekawa
中科院分区：
文献类型：
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作者：
Y. Kagei;Yasunori Maekawa
研究了一类具有自相似解的Keller-Segel方程组解的大时间行为。通过考虑方程的不变性质相对于缩放和平移，我们表明，适当移位的自相似的解决方案给出更精确的渐近轮廓的一般解决方案在大的时间。并对算法的收敛速度进行了详细的计算。
This paper deals with large time behaviors of solutions to a Keller–Segel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.