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带两个趋化参数的趋化性模型在一维空间中整体解的一致有界性(英文)
Existence and Uniform Boundedness of Global Solutions in One Dimension Space of a Chemotaxis System with Two Sensitive Coefficients
【摘要】 研究带两个趋化参数的趋化模型在一维空间中整体解的存在性和一致有界性.利用Amann理论得到方程组解的局部存在性,进而利用解析半群理论和能量方法及细致的先验估计,证明了方程组在一维空间中整体解的存在性和一致有界性.
【Abstract】 The existence and boundedness of global solutions in one dimension space of a chemotaxis system with two sensitive coefficients are investigated. Applying Amann theory, the local existence of solutions of the system is obtained. Furthermore, by using analytic semigroup theory, energy methods and the detailed priori estimates of solutions, it’s proved that the existence and boundedness of global solutions in one dimension space of the system.
【基金】 Supported by the National Natural Science Foundation of China (11871048);Scientific Research Program of Beijing Municipal Education Commission (KM202011417010)
- 【文献出处】 南开大学学报(自然科学版) ,Journal of Nankai University(Natural Science) , 编辑部邮箱 ,2024年03期
- 【分类号】Q141;O175
- 【下载频次】7