一类带logistic源项的趋化方程组解的整体存在性和有界性

Global existence and boundedness of solutions of a chemotaxis system with logistic source

摘要:

本文研究了一类具有logistic源项的趋化方程组解的性质. 利用先验估计并结合Neumann热半群的衰减性质， 本文证明： 当logistic源中的二次项系数足够大时，方程组的齐次Neumann初边值问题的经典解在边界光滑的三维有界区域上整体存在且一致有界.

Abstract:

The properties of solutions of a class of chemotaxis system with logistic source are considered. By using prior estimates and the decay properties of Neumann heat semigroup, it is proved that there exists a unique global classical solution for the homogenous Neumann initial value problem in three-dimensional bounded domain with smooth boundary if the quadratic coefficient of the logistic source is sufficiently large.