Yulin Lai, Youjun Xiao
Abstract:
This article concerns the chemorepulsion system with nonlinear
sensitivity and nonlinear secretion
under homogeneous Neumann boundary conditions, where
,
m>0,
,
is a bounded domain with
smooth boundary. The existence and uniform boundedness of a
classical global solutions are obtained. Furthermore, it is shown that
for any given
, if
or
,
the corresponding
solution (u,v) converges to
as time
goes to infinity, where
.
Submitted April 7, 2017. Published October 10, 2017.
Math Subject Classifications: 35K55, 35Q92, 35Q35, 92C17.
Key Words: Chemotaxis; repulsion; nonlinear sensitivity;global solution;
asymptotic behavior.
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Yulin Lai Third People's Hospital of Yibin City Yibin 644000, China email: 32212779@qq.com | |
Youjun Xiao College of Mathematic & Information China West Normal University Nanchong 637002, China email: mathxyj@126.com |
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