带有分数阶扩散的趋化模型古典解的长时间渐近行为

Large time asymptotic behavior of classical solutions for chemotaxis models with fractional diffusion

研究了R;(n≥2)全空间中带有分数阶扩散的抛物-抛物-椭圆趋化模型,通过引入一个能够体现解的能量估计及衰减性的函数空间作为迭代的基本空间,利用压缩映射原理,给出了全局古典解的存在唯一性及衰减估计.

This paper is devoted to dealing with the parabolic-parabolic-elliptic chemotaxis model with fractional diffusion in two dimensions and above the whole space. By means of an appropriate functional space which can reflect energy estimates and temporal decay as a basic iteration space and contraction mapping theorem, the existence, uniqueness and decay estimates of global classical solutions to this problem are given.