节点文献
具间接信号产生的拟线性趋化模型解的无限时间爆破
Infinite-Time Blow-up of Solutions to Quasilinear Chemotaxis Models with Indirect Signal Production
【摘要】 本文研究了在光滑有界域Ω??R~n内具有齐次Neumann边界条件下含有间接信号产生型的拟线性趋化模型:■当1-2/n-m+q=0时,对任意适当光滑初值,解是整体存在的;如果Ω是径向对称区域,则存在适当大的非负径向对称初值,使得解在无限时间发生爆破。
【Abstract】 This paper deals with the following quasilinear chemotaxis systems with indirect signal production■under homogeneous Neumann boundary conditions in a smooth bounded domain Ω ??R~n. It is shown that when 1-2/n-m + q =0,for all suitably smooth initial data,the problem possesses a global classical solution;whereas if Ω is a radially symmetric domain,there exist nonnegative radially symmetric initial datawith sufficiently large mass such that the solution blows up in infinite time.
【关键词】 趋化;
间接信号产生;
整体存在;
无限时间爆破;
【Key words】 chemotaxis; indirect signal production; global existence; infinite-time blow-up;
【Key words】 chemotaxis; indirect signal production; global existence; infinite-time blow-up;
【基金】 国家自然科学基金项目(12271064);中央高校基本科研业务费项目(2025CDJ-IAISYB-010);重庆英才计划项目(cstc2022ycjh-bgzxm0169);重庆自然科学基金项目(CSTB2023NSCQ-LZX0089)
- 【文献出处】 西华师范大学学报(自然科学版) ,Journal of China West Normal University(Natural Sciences) , 编辑部邮箱 ,2026年03期
- 【分类号】O175;Q-332
- 【下载频次】20