论文标题
在具有非线性项的完全抛物线吸引 - 抑制趋化系统中，爆炸时间的显式下限
Explicit lower bound of blow-up time in a fully parabolic attraction-repulsion chemotaxis system with nonlinear terms
论文作者
论文摘要
众所周知，对于在平滑界面域中的抛物线纤维素凯勒 - 塞格类型系统中，给出了无限溶液的爆炸时间的下限。本文扩展了以前的作品，以在大于3的任何空间维度中处理完全抛物线的凯勒 - 塞格类型系统。其次，我们对在平滑的界面域中的均匀的诺伊曼边界条件下，对具有非线性项的完全抛物线吸引 - 抑制性趋化性系统进行了明确的估计。
It is known that for the parabolic-elliptic Keller-Segel type system in a smooth bounded domain in 3-dimensional space, the lower bound of a blow-up time of unbounded solution is given. This paper extends the previous works to deal with the fully parabolic Keller-Segel type system in any spatial dimension larger than 3. Firstly, we prove that any blow-up time of an energy function is also the classical blow-up time when its energy level is sufficiently large. Secondly, we give an explicit estimation for the lower bound of blow-up time for the fully parabolic attraction-repulsion chemotaxis system with nonlinear terms, under homogeneous Neumann boundary conditions, in a smooth bounded domain.
