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Large data oscillatory solutions of the 3D Navier-Stokes equations
PDE & Applied Mathematics| Speaker: | Walter Rusin, USC |
| Location: | 1147 MSB |
| Start time: | Tue, May 15 2012, 3:10PM |
Description
We consider the 3D Navier-Stokes equations in a periodic domain
thus focusing on oscillatory solutions. Heuristically, as the frequency of
oscillations vanishes, solutions converge to the solution of the 2.5D
Navier-Stokes equations, that is equations, where the third component of
velocity is propagated by the solution. We explore this phenomenon and
exhibit a set of quantities and conditions which guarantee the existence of
global regular solutions. The considered initial data are genuinely
three-dimensional. The talk is based on joint work with Igor Kukavica.