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We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force . We assume that is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if is a quasiperiodic function with respect to , then the attractor is a continuous image of a torus. Moreover the...
We study the global attractor of the non-autonomous 2D
Navier–Stokes system with time-dependent external force
. We assume that is a translation
compact function and the corresponding Grashof number is small.
Then the global attractor has a simple structure: it is the
closure of all the values of the unique bounded complete
trajectory of the Navier–Stokes system. In particular, if
is a quasiperiodic function with respect to ,
then the attractor is a continuous image of a torus. Moreover
...
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