Almost global existence for the 3D Prandtl boundary layer equations

发布时间：2020-11-13 来源：赢咖3 浏览次数：

Speaker:	张挺	DateTime:	2020年11月18日（周三）上午9:00-10:00
Brief Introduction to Speaker: 张挺，浙江大学教授。		Place:	腾讯会议（会议号请联系訾瑞昭老师索取）
Abstract:In this talk, we prove the almost global existence of classical solutions to the 3D Prandtl system with the initial data which lie within $\varepsilon$ of a stable shear flow. Using anisotropic Littlewood-Paley energy estimates in tangentially analytic norms and introducing new linearly-good unknowns, we prove that the 3D Prandtl system has a unique solution with the lifespan of which is greater than $\exp(\varepsilon^{-1}/\log(\varepsilon^{-1}))$. (This work is joint with Xueyun Lin)