%0 Journal Article
%T 具奇异敏感的趋化模型解的整体有界性<br>Global Boundedness of the Solution for Chemotaxis Model with Singular Sensitivity
%A 牛聪
%A 陈越
%J Pure Mathematics
%P 3185-3192
%@ 2160-7605
%D 2023
%I Hans Publishing
%R 10.12677/PM.2023.1311330
%X 本文研究齐次Neumann边界条件下的具奇异敏感的抛物–椭圆趋化模型：<img src=\"Edit_f32e1004-0bc6-476e-90dd-b96178543e6d.png\" alt=\"\" />，<img src=\"Edit_750244a7-ee33-4134-bbb4-3b0f2cd3dc89.png\" alt=\"\" /><span>，</span>其中Ω？？为有界区间，α,β,χ &gt; 0。当<img src=\"Edit_8cd86812-1627-4573-8d41-2e18f383b68c.png\" alt=\"\" />时，模型存在整体有界的古典解。<br />
This article studies a parabolic-elliptical chemotaxis model with singular sensitivity under homo-geneous Neumann boundary conditions:<img src=\"Edit_f543150c-23a7-4262-8938-be405a5fea71.png\" alt=\"\" />, where Ω？？, α,β,χ &gt; 0. It’s proved that the classical solution of <img src=\"Edit_46535c4e-276b-42bc-821e-4660fc28b50c.png\" alt=\"\" />is globally bounded.
%K 奇异敏感，古典解，整体有界性<br>Singular Sensitivity
%K Classical Solution
%K Global Boundedness
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=75360