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• W3131658327 abstract "Abstract The equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotation are investigated. Under the assumption that the period and the angular velocity of the prescribed rigid-body motion are compatible, and that the mean translational velocity is non-zero, existence of a time-periodic solution is established. The proof is based on an appropriate linearization, which is examined within a setting of absolutely convergent Fourier series. Since the corresponding resolvent problem is ill-posed in classical Sobolev spaces, a linear theory is developed in a framework of homogeneous Sobolev spaces." @default.
• W3131658327 created "2021-03-01" @default.
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• W3131658327 date "2021-02-01" @default.
• W3131658327 modified "2023-10-17" @default.
• W3131658327 title "Viscous Flow Around a Rigid Body Performing a Time-periodic Motion" @default.
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• W3131658327 doi "https://doi.org/10.1007/s00021-021-00556-4" @default.
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