PDE seminar: Topological instability of laminar flows for the two-dimensional Navier-Stokes equation in adiffuser shroud

2013-4-22 16:30 - 2013-4-22 17:30
Faculty of Science Building #3, Room 309
Tsuyoshi Yoneda (Hokkaido University)
In general, before separating from a boundary, the
flow moves toward reverse direction near the boundary
against the laminar flow direction. Here in this talk,
creation of the reverse flow phenomena (in a mathematical
sense) in a diffuser shroud is observed.
More precisely, in the non-stationary two-dimensional
Navier-Stokes equation with diffusing laminar initial
data (we define it rigorously in this talk), topologically
changing flow, namely, instability is observed.