Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898802 | Journal of Differential Equations | 2018 | 27 Pages |
Abstract
We classify all (â1)-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. Then we establish smoothness properties of the solution surface in the four parameters. The smoothness properties will be used in a subsequent paper where we study the existence of (â1)-homogeneous axisymmetric solutions with non-zero swirl on S2â{S,N}, emanating from the four dimensional solution surface.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Li Li, YanYan Li, Xukai Yan,