OSU Mathematics Seminars and Colloquia
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Thu, Oct 05, 2023
Computational and Applied Math Seminar
3:00 PM
MSCS 509
Homogeneous solutions of stationary incompressible Navier-Stokes equations Part II
[Abstract] [PDF]
Abstract: We will continue to discuss (-1)-homogeneous solutions of stationary incompressible 3D Navier-Stokes equations. In particular, I will talk about solutions with singular rays along x_3-axis. I will discuss the existence and classification of such solutions that are axisymmetric with two singular rays passing through the north and south poles. We classify all such solutions with no swirl and then obtain existence of nonzero swirl solutions through perturbation methods. I will then describe the asymptotic expansions of such solutions near a singular ray and the asymptotic stability of them.
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