一类具有非线性信号产生的趋化性模型解的存在性

Global Existence of a Chemotaxis Model with Nonlinear Signal Secretion

针对一类具有非线性信号产生的趋化模型进行了研究,主要利用常数变易法、半群理论、以及非齐次线性方程的正则化性质等方法,证明了二维及以上有界区域上具有齐次Neumann边值条件的该模型解的全局存在性和有界性.

In this paper,a chemotaxis model with nonlinear signal secretion under homogeneous Neumann boundary conditions in two or higher smooth bounded domains is studied.By means of the constant variation formula,the semigroup theory,the regularization properties of inhomogeneous linear heat equations,it is proved that the corresponding initial-boundary value problem possesses a unique global bounded classical solution.