Seminars & Colloquia Calendar
On the long-distance asymptotics of the steady-state Navier-Stokes solutions in three dimensions
Vladimir Sverak, University of Minnesota and Institute for Advanced Study
Location: Hill Center Room 525
Date & time: Tuesday, 03 May 2022 at 1:40PM - 2:40PM
Abstract: For the linear Stokes system, the long-distance asymptotics is given by classical multipole expansions. How does non-linearity change the expansions in three dimensions? The first term in the small data expansion for the non-linear case is known to be given by the so-called Landau solution. In the talk, we explain how to obtain the next term. It turns out the non-linearity accelerates the rate of decay of some of the modes, while not slowing down the rate of decay of any of the next-order-to-Landau modes. Joint work with Hao Jia.