| Abstract: |
| In this talk, we will consider the time-periodic motion of a harmonic oscillator in a viscous incompressible fluid occupying an infinite pipe. The motion of the fluid is driven by a prescribed, time-periodic flow rate. We will show that the phenomenon of resonance does not occur in the class of weak solutions to the governing equations if the flow rate is ''sufficiently small''. In addition, at a large distance from the oscillator, the fluid velocity converges to the time-periodic generalization of the Poiseuille flow in an infinite pipe. |
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