应304am永利集团官网王跃循教授和崔秀芳副教授邀请，西北工业大学304am永利集团官网杨佳琦副教授将于2023年11月11日上午举办学术报告。

报告题目:Constrained large solutions to Leray's problem in a distorted strip with the Navier-slip boundary condition

时 间：11月11日（星期六）11：15-12: 00

地 点：理工楼518

报告摘要：We solve the Leray's problem for the stationary Navier-Stokes system in a 2D infinite distorted strip with the Navier-slip boundary condition. The existence, uniqueness, regularity and asymptotic behavior of the solution are investigated. Moreover, we discuss how the friction coefficient affects the well-posedness of the solution. Due to the validity of the Korn's inequality, all constants in each a priori estimate are independent of the friction coefficient. Thus our method is also valid for the total-slip and no-slip cases. The main novelty is that the total flux of the velocity can be relatively large (proportional to the slip length) when the friction coefficient of the Navier-slip boundary condition is small, which is essentially different from the 3D case.

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报告人简介

杨佳琦，西北工业大学副教授，硕士生导师。研究方向是非线性偏微分方程与流体力学中的数学理论，特别关注于不可压缩牛顿与非牛顿流体力学方程组的适定性理论与流体力学方程组中的自由边值问题。主持国家自然科学基金青年项目1项，省部级科研项目1项。在SIAM J. Math. Anal., J.Differential Equations, Nonlinearity, Proc. Roy. Soc. Edinburgh Sect. A 等国际数学期刊发表论文多篇。

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