Boundary layer problem on the chemotaxis-Navier-Stokes system with Robin boundary conditions on oxygen

讲座名称：Boundary layer problem on the chemotaxis-Navier-Stokes system with Robin boundary conditions on oxygen

讲座人：侯倩倩 副教授

讲座时间：11月29日10:00-11:30

地点：腾讯会议：774-970-649

讲座人介绍：

侯倩倩，哈尔滨工业大学，副教授。主要从事生物数学和流体力学中的偏微分方程的理论研究；研究成果发表在J. Math. Pures Appl., SIAM J. Math. Anal.,Nonlinearity, J. Differential Equations等期刊上；获得国家自然科学基金面上项目的资助。

讲座内容：

This talk is concerned with the boundary layer problem on a chemotaxis-Navier-Stokes system modelling boundary layer formation of aerobic bacteria in fluid. Neglecting the influence of the fluid, and completing the chemotaxis-only subsystem with physical Robin-type boundary conditions for oxygen, we first show that the gradients of its radial solutions in a region between two concentric spheres possessing boundary layer effects as the oxygen diffusion rate ε goes to zero. Then we proceed to show that the full chemotaxis-Navier-Stokes system in the half plane of R^2 also possesses boundary layer effects and the thickness of the boundary layer is of order O(ε^(1/2)).

主办单位：数学与统计学院