典型文献
A Smallness Condition Ensuring Boundedness in a Two-dimensional Chemotaxis-Navier-Stokes System involving Dirichlet Boundary Conditions for the Signal
文献摘要：
The chemotaxis-Navier-Stokes system{nt+u·▽n=Δn-▽·(n▽c),ct+u·▽c=Δc-nc,ut+(u·▽)u=Δu+▽P+n▽φ,▽·u=0 is considered in a smoothly bounded planar domain Ω under the boundary conditions(▽n-n▽c)·v=0,c=c★,u=0,x∈?Ω,t＞0,with a given nonnegative constant c*.It is shown that if(n0,c0,u0)is sufficiently regular and such that the product ‖n0‖L1(Ω)‖c0‖2L∞(Ω)is suitably small,an associated initial value problem possesses a bounded classical solution with(n,c,u)|t=0=(n0,c0,u0).
文献关键词：
中图分类号：
作者姓名：
Yu Lan WANG;Michael WINKLER;Zhao Yin XIANG
作者机构：
School of Science,Xihua University,Chengdu 610039,P.R.China;Institut für Mathematik,Universit?t Paderborn,33098 Paderborn,Germany;School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,P.R.China
文献出处：
引用格式：
[1]Yu Lan WANG;Michael WINKLER;Zhao Yin XIANG-.A Smallness Condition Ensuring Boundedness in a Two-dimensional Chemotaxis-Navier-Stokes System involving Dirichlet Boundary Conditions for the Signal)[J].数学学报（英文版）,2022(06):985-1001
A类：
Smallness,nt+u,ct+u,P+n
B类：
Ensuring,Boundedness,Two,dimensional,Chemotaxis,Navier,Stokes,System,involving,Dirichlet,Boundary,Conditions,Signal,chemotaxis,system,nc,ut+,u+,considered,smoothly,bounded,planar,domain,under,boundary,conditions,given,nonnegative,constant,It,shown,that,if,n0,c0,u0,sufficiently,regular,such,product,L1,2L,suitably,small,associated,initial,value,problem,possesses,classical,solution
AB值：
0.650488
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