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 Events
Hyunju Kwon
UBC
Tue 23 Oct 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
MATH 105
Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
MATH 105
Tue 23 Oct 2018, 3:30pm-4:30pm

Abstract

We consider the Cauchy problem of 3D incompressible Navier-Stokes equations for uniformly locally square integrable initial data. The existence of a time-global weak solution has been known, when the square integral of the initial datum on a ball vanishes as the ball goes to infinity. For non-decaying 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 non-decaying initial data whose local oscillations slowly decay.
This is a joint work with Tai-Peng Tsai.
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Malcolm Bowles
UBC
Tue 20 Nov 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
MATH 105
MATH 105
Tue 20 Nov 2018, 3:30pm-4:30pm

Abstract

 
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