Keller-Segel系统的Fujita-Kato型解

Fujita-Kato Solution to Keller-Segel System

本文在临界Besov空间证明了Keller-Segel系统的局部和整体适定性,特别包含化学引诱剂的浓度缺少耗散项的情形.其证明主要依赖于该系统的特殊结构以及Fourier局部化方法的应用.

In this paper,we prove the local and global well-posedness of the Keller-Segel system in critical Besov spaces,especially for the case when the concentration of the chemoattractant lacks the dissipation term.Our proof mainly relies on the special structure of the system and the application of Fourier localization technique.