一类带有趋化性扩散的细菌模型一致有界解的整体存在性

The Interior Transmission Problem for Isotropic Maxwell Equations and Some Estimates on the Index of Refraction

考虑二维空间中一类带有趋化性扩散的生物模型的一致有界解的整体存在性.利用细致的能量估计、不同希尔伯特空间(包括V_2(Q_(t,t+1))、W_(p,p)^(1,2)(Q_(t,t+1))、L_(p,q)(q_(t,t+1))的先验估计以及一致Gronwall不等式,证明了一类带有出生率和死亡率项的生物模型的一致有界解的整体存在性.

This paper is concerned with the global existence of uniformly bounded solutions for a class of chemotaxis models in two dimensional spaces. By using detailed energy estimates,some a priori estimates in different types of spaces including V2（Qt,t＋1）, W^1,2 p,p （Qt,t＋1） and Lp,q（Qt,t＋1） and by applying uniform Gronwall inequality, we can prove the giobal existence of uniformly bounded solutions for a class of chemotaetic systems with the proliferation term which involves both growth and death of the bacteria.