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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

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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.
Existence and Uniform Boundedness of Global Solutions in One Dimension Space of a Chemotaxis System with Two Sensitive Coefficients
The existence and boundednesss 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 boundednesss of global solutions in one dimension space of the system.

global solutionexistenceboundednesss

赵烨、王丽伟、徐茜

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北京石油化工学院致远学院,北京 102617

北京联合大学数理部,北京 100101

整体解 存在性 一致有界性

National Natural Science Foundation of ChinaScientific Research Program of Beijing MunicipalEducation Commission

11871048KM202011417010

2024

南开大学学报(自然科学版)
南开大学

南开大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.284
ISSN:0465-7942
年,卷(期):2024.57(3)
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