應(yīng)yl7703永利官網(wǎng)王躍循教授和崔秀芳副教授邀請，西北工業(yè)大學(xué)yl7703永利官網(wǎng)楊佳琦副教授將于2023年11月11日上午舉辦學(xué)術(shù)報告。

報告題目:Constrained large solutions to Leray's problem in a distorted strip with the Navier-slip boundary condition

時 間：11月11日（星期六）11：15-12: 00

地 點：理工樓518

報告摘要：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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報告人簡介

楊佳琦，西北工業(yè)大學(xué)副教授，碩士生導(dǎo)師。研究方向是非線性偏微分方程與流體力學(xué)中的數(shù)學(xué)理論，特別關(guān)注于不可壓縮牛頓與非牛頓流體力學(xué)方程組的適定性理論與流體力學(xué)方程組中的自由邊值問題。主持國家自然科學(xué)基金青年項目1項，省部級科研項目1項。在SIAM J. Math. Anal., J.Differential Equations, Nonlinearity, Proc. Roy. Soc. Edinburgh Sect. A 等國際數(shù)學(xué)期刊發(fā)表論文多篇。

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2023年11月9日