Homogeneous solutions of the stationary Navier-Stokes equations with singular rays and vanishing viscosity limit

讲座时间 Datetime: 

星期六, 2017/11/04 - 从 14:30 到 16:00

地点 Venue: 

中山大学珠海校区海滨红楼6号楼1楼会议室

报告人 Speaker: 

李莉

单位 Affiliation: 

哈尔滨工业大学

报告摘要 Abstract: 

We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles, parameterizing them as a four dimensional surface with boundary in appropriate function spaces. The smoothness of the solution surface in the four parameters can be established. Based on the above classifications, we analyze the vanishing viscosity limit of (-1)-homogeneous, axisymmetric, no-swirl solutions of the Navier-Stokes equations to the solutions of the Euler equations.