UBC Mathematics Colloquium

Tai-Peng Tsai

Navier-Stokes flows with scaling invariant bounds

Fri., Oct. 9, 2009, 3:00pm, MATX 1100

The three dimensional incompressible Navier-Stokes system has two different structures: The antisymmetry of the nonlinearity, which provides an a priori bound for L^2 norm, and its natural scaling, which preserves L^3 norm. After a brief survey, I will talk about two problems. First the regularity problem, with a focus on current results assuming scaling invariant bounds (Type I singularity). Second the asymptotics problem, both temporal and spatial.

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