UBC

Tue 23 Oct 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
MATH 105

Global NavierStokes flows for nondecaying initial data with slowly decaying oscillation

MATH 105
Tue 23 Oct 2018, 3:30pm4:30pm
Abstract
We consider the Cauchy problem of 3D incompressible NavierStokes equations for uniformly locally square integrable initial data. The existence of a timeglobal weak solution has been known, when the square integral of the initial datum on a ball vanishes as the ball goes to infinity. For nondecaying data, however, the only known global solutions are either for perturbations of constants or when the velocity gradients are in Lp with finite p. In this talk, I will outline how to construct global weak solutions for general nondecaying initial data whose local oscillations slowly decay.
This is a joint work with TaiPeng Tsai.
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UBC

Tue 20 Nov 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
MATH 105


MATH 105
Tue 20 Nov 2018, 3:30pm4:30pm
Abstract
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