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On global weak solutions to the Cauchy problem for the Navier-Stokes system with non-energy initial data

Distinguished Lecture Series

Speaker: Gregory Seregin, Oxford
Location: 3106 MSB
Start time: Thu, Apr 7 2016, 4:10PM

The talk addresses a question concerning the behaviour of a sequence of global solutions to the Navier-Stokes equations, with the corresponding sequence of smooth initial data being bounded in (non-energy classes) like Lebesgue space $L_3$ or weak Lebesgue space $L^{3,\infty}$. It is closely related to the question of what would be a reasonable definition of global weak solutions with a non-energy class of initial data, including the aforementioned Lebesgue spaces, whose norms are both scale invariant with the respect to the Navier-Stokes scaling.