典型文献
Global Fujita-Kato's Type Solutions and Long-time Behavior for the Multidimensional Chemotaxis Model
文献摘要：
We establish the global well-posedness for the multidimensional chemotaxis model with some classes of large initial data,especially the case when the rate of variation of ln v0 (v0 is the chemical concentration) contains high oscillation and the initial density near the equilibrium is allowed to have large oscillation in 3D.Besides,we show the optimal time-decay rates of the strong solutions under an additional perturbation assumption,which include specially the situations of d =2,3 and improve the previous time-decay rates.Our method mainly relies on the introduce of the effective velocity and the application of the localization in Fourier spaces.
文献关键词：
中图分类号：
作者姓名：
Qiong Lei CHEN;Xiao Nan HAO;Jing Yue LI
作者机构：
Institute of Applied Physics and Computational Mathematics,Beijing 100088,P.R.China;School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China
文献出处：
引用格式：
[1]Qiong Lei CHEN;Xiao Nan HAO;Jing Yue LI-.Global Fujita-Kato's Type Solutions and Long-time Behavior for the Multidimensional Chemotaxis Model)[J].数学学报（英文版）,2022(02):311-330
A类：
B类：
Global,Fujita,Kato,Type,Solutions,Long,Behavior,Multidimensional,Chemotaxis,Model,We,establish,global,well,posedness,multidimensional,chemotaxis,model,some,classes,large,initial,data,especially,case,when,variation,ln,v0,chemical,concentration,contains,high,oscillation,density,near,equilibrium,allowed,have,Besides,show,optimal,decay,rates,strong,solutions,under,additional,perturbation,assumption,which,include,situations,improve,previous,Our,method,mainly,relies,introduce,effective,velocity,application,localization,Fourier,spaces
AB值：
0.7006
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
