Minimal Mass Blowup Solutions for the Patlak-Keller-Segel Equation
Minimal Mass Blowup Solutions for the Patlak-Keller-Segel Equation
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DOI：
10.1002/cpa.21787
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发表时间：
2018-10-01
影响因子：
3
通讯作者：
Masmoudi, Nader
中科院分区：
文献类型：
--
作者：
Ghoul, Tej-Eddine;Masmoudi, Nader
我们考虑了二维空间中描述细菌趋化聚集的抛物椭圆Patlak-Keller-Segel（PKS）模型。当质量等于8和二阶矩是有限的（双临界的情况下），我们给出了一个精确的描述的动态时间趋于无穷大，并提取的限制配置文件和速度。证明表明，这种动态是稳定的扰动下。(c)2018 Wiley Periodicals，Inc.
We consider the parabolic-elliptic Patlak-Keller-Segel (PKS) model of chemotactic aggregation in two space dimensions which describes the aggregation of bacteria under chemotaxis. When the mass is equal to 8 and the second moment is finite (the doubly critical case), we give a precise description of the dynamic as time goes to infinity and extract the limiting profile and speed. The proof shows that this dynamic is stable under perturbations. (c) 2018 Wiley Periodicals, Inc.