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

講座人：侯倩倩 副教授

講座時間：11月29日10:00-11:30

地點：騰訊會議：774-970-649

講座人介紹：

侯倩倩，哈爾濱工業(yè)大學(xué)，副教授。主要從事生物數(shù)學(xué)和流體力學(xué)中的偏微分方程的理論研究；研究成果發(fā)表在J. Math. Pures Appl., SIAM J. Math. Anal.,Nonlinearity, J. Differential Equations等期刊上；獲得國家自然科學(xué)基金面上項目的資助。

講座內(nèi)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)).

主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院