Special Session 140: 

Vanishing viscosity limit for homogeneous solutions of stationary incompressible Navier-Stokes equations with singular rays

Xukai Yan
Georgia Institute of Technology
USA
Co-Author(s):    Li Li, Yanyan Li
Abstract:
In this talk, we will first classify all (-1)-homogeneous axisymmetric no-swirl solutions of 3-d stationary incompressible NSE which are smooth on the unit sphere minus south and north poles. We will then present our results on the vanishing viscosity limit of sequences of (-1)-homogeneous axisymmetric no-swirl solutions. We will show that some sequences of solutions tend to solutions of Euler equations on the unit sphere, while for the other sequences of solutions boundary layer or interior layer behavior occur.