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Nonlinear Analysis

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.

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