亚新体育

Well-posedness and asymptotic behavior of fluid equations in domains with corners

活动时间:2026-10-30 10:00

活动地点:亚新体育 2432报告厅

主讲人:王亚光

主讲人简介:

王亚光,1992年6月在复旦大学获博士学位,1992年7月至今在上海交通大学任职,现为上海交通大学讲席教授,兼任中国数学会常务理事。主要研究兴趣是流体力学方程组的数学理论及其应用,成果发表在J. Amer. Math. Soc., Arch. Rational Mech. Anal., Adv.in Math等刊物上。研究工作先后获教育部自然科学奖一等奖与上海市自然科学奖一等奖。主持国家自然科学基金委重点项目。

内容摘要:

In this talk, we shall study the well-posedness of the initial boundary value problem for the two-dimensional compressible ideal flow with the impermeable boundary condition in domains with corners, and the small viscosity limit for the two-dimensional incompressible viscous flow with the Navier boundary condition in a quarter space, in which it is observed the boundary layer near each edge satisfies the linearized Prandtl equations and the corner layer produced by the interaction of two boundary layers satisfies the nonlinear Navier-Stokes type equations. It is based on joint work with Wen Guo.