典型文献
BOUNDEDNESS AND EXPONENTIAL STABILIZATION IN A PARABOLIC-ELLIPTIC KELLER-SEGEL MODEL WITH SIGNAL-DEPENDENT MOTILITIES FOR LOCAL SENSING CHEMOTAXIS
文献摘要：
In this paper we consider the initial Neumann boundary value problem for a de-generate Keller-Segel model which features a signal-dependent non-increasing motility func-tion.The main obstacle of analysis comes from the possible degeneracy when the signal concentration becomes unbounded.In the current work,we are interested in the bounded-ness and exponential stability of the classical solution in higher dimensions.With the aid of a Lyapunov functional and a delicate Alikakos-Moser type iteration,we are able to establish a time-independent upper bound of the concentration provided that the motility function de-creases algebraically.Then we further prove the uniform-in-time boundedness of the solution by constructing an estimation involving a weighted energy.Finally,thanks to the Lyapunov functional again,we prove the exponential stabilization toward the spatially homogeneous steady states.Our boundedness result improves those in[1]and the exponential stabilization is obtained for the first time.
文献关键词：
中图分类号：
作者姓名：
Jie JIANG
作者机构：
Innovation Academy for Precision Measurement Science and Technology,CAS,Wuhan 430071,China
文献出处：
引用格式：
[1]Jie JIANG-.BOUNDEDNESS AND EXPONENTIAL STABILIZATION IN A PARABOLIC-ELLIPTIC KELLER-SEGEL MODEL WITH SIGNAL-DEPENDENT MOTILITIES FOR LOCAL SENSING CHEMOTAXIS)[J].数学物理学报（英文版）,2022(03):825-846
A类：
BOUNDEDNESS,EXPONENTIAL,STABILIZATION,PARABOLIC,ELLIPTIC,KELLER,SEGEL,SIGNAL,MOTILITIES,LOCAL,SENSING,CHEMOTAXIS,Alikakos,algebraically
B类：
AND,MODEL,WITH,DEPENDENT,FOR,In,this,paper,consider,initial,Neumann,boundary,value,problem,generate,Keller,Segel,model,which,features,signal,increasing,motility,main,obstacle,analysis,from,possible,degeneracy,when,concentration,becomes,unbounded,current,work,are,interested,exponential,stability,classical,solution,higher,dimensions,With,aid,Lyapunov,functional,delicate,Moser,type,iteration,able,establish,independent,upper,provided,that,creases,Then,further,uniform,boundedness,by,constructing,estimation,involving,weighted,energy,Finally,thanks,again,stabilization,toward,spatially,homogeneous,steady,states,Our,result,improves,those,obtained,first
AB值：
0.5258
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