Asymptotics of small exterior Navier-Stokes flows with <br/><br/>non-decaying boundary data

Tuesday, February 23, 2010 - 2:00pm - 2:45pm
EE/CS 3-180
Tai-Peng Tsai (University of British Columbia)
Keywords: Asymptotics, Exterior flows, Navier-Stokes equations, self-similar

Abstract: We prove the unique existence of solutions of the 3D
Navier-Stokes equations in an exterior domain with small
non-decaying boundary data, for all t ∈ R or t > 0. In
the case t > 0 it is coupled with a small initial data in
weak L3. If the boundary data is time-periodic, the spatial
asymptotics of the time-entire solution is given by a Landau
solution which is the same for all time. If the boundary data
time-periodic and the initial data is asymptotically discretely
self-similar, the solution is asymptotically the sum of a
time-periodic vector field and a forward discretely
vector field as time goes to infinity. This is a joint work
Kyungkuen Kang and Hideyuki Miura.
MSC Code: