具有Dirichlet信号边界的一类趋化–流体模型的研究  

Study on a Chemotaxis-Fluid Model with Dirichlet Signal Boundary

作　　者：况旺 侯智博 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《应用数学进展》2024年第2期730-737,共8页Advances in Applied Mathematics

摘　　要：本文讨论一类具有规定信号浓度的趋化–流体耦合方程组解的性质。利用二维有界区域上的插值不等式和边界上的逐点不等式,得到细胞密度和化学信号浓度梯度的联合估计,并结合算子半群理论,最终证得该方程组的初边值问题存在整体有界的经典解。In this paper, the properties of solutions to the chemotaxis-fluid system with prescribed signal con-centration on the boundary are considered. By using the interpolation inequality in a two- dimen-sional bounded domain and a pointwise inequality on the boundary, the joint estimates to cell den-sity and chemical signal concentration gradient are obtained, and combined with the operator semigroup theory, it is shown that the initial boundary value problem of the chemotaxis-fluid sys-tem exists a global and bounded classical solution.

关 键 词：趋化–流体模型 DIRICHLET边界条件 整体经典解 有界性 

分 类 号：O17[理学—数学]