带有分数阶扩散的趋化模型古典解的长时间渐近行为

Р YAO Lili , JIANG Kerui , LIU Zuhan , ZHOU Ling*Р (College of Mathematics and Science , Yangzhou University , Yangzhou 225OO2 , China)РРAbstract : This paper is devoted to dealing with the parabolic-parabolic-elliptic chemotaxis model Рwith fractional diffusion in two dimensions and above the whole space. By means of an appropriate Рfunctional space which can reflect energy estimates and temporal decay as a basic iteration space and Рcontraction mapping theorem , the existence , uniqueness and decay estimates of global classical so- РlutionstothisproblemaregivenРРKeywords: chemotaxis model; fractional diffusion; global classical solution; asymptotic behaviorРР （责任编辑秋实）