典型文献
Rapid Time-Decay Phenomenon of the Incompressible Navier-Stokes Flow in Exterior Domains
文献摘要：
This paper focuses on the rapid time-decay phenomenon of the 3D incompressible Navier-Stokes flow in exterior domains.By using the representation of the flow in exterior domains,together with the estimates of the Gaussian kernel,the tensor kernel,and the Stokes semigroup,we prove that under the assumption ∫∞0 ∫?ΩT[u,p](y,t)·vdSydt=0 for the body pressure tensor T[u,p],if u0 ∈ L1(Ω)∩ L3σ(Ω)∩W2/5,5/4(Ω)with ‖u0‖3≤η for some sufficiently small number η＞0,then rapid time-decay phenomenon of the Navier-Stokes flow appears.If additionally |x|αu0 ∈ Lr0(Ω)for some 0＜α＜1 and 1＜r0＜(1-α/3)-1 or α=1 and r0=1,then the flow exhibits higher decay rates as t → ∞.
文献关键词：
中图分类号：
作者姓名：
Qing Hua ZHANG;Yue Ping ZHU
作者机构：
School of Sciences,Nantong University,Nantong 226019,P.R.China;Department of Mathematics,Nantong Normal College,Nantong 226010,P.R.China
文献出处：
引用格式：
[1]Qing Hua ZHANG;Yue Ping ZHU-.Rapid Time-Decay Phenomenon of the Incompressible Navier-Stokes Flow in Exterior Domains)[J].数学学报（英文版）,2022(04):745-760
A类：
Exterior,vdSydt,Lr0
B类：
Rapid,Time,Decay,Phenomenon,Incompressible,Navier,Stokes,Flow,Domains,This,paper,focuses,rapid,decay,phenomenon,incompressible,flow,exterior,domains,By,using,representation,together,estimates,Gaussian,kernel,tensor,semigroup,we,prove,that,under,assumption,body,pressure,if,u0,L1,L3,W2,some,sufficiently,small,number,then,appears,If,additionally,exhibits,higher,rates
AB值：
0.536625
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