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Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle - MaRDI portal

Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle (Q2084969)

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Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle
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    Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle (English)
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    14 October 2022
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    The Navier-Stokes equations are considered in the three-dimensional exterior domain when a rigid body moves periodically in time. The results in this paper complement recent studies on the existence of time-periodic solutions by showing that such a flow is unique among small weak \(L^3\) solutions and, moreover, this enjoys \(\frac{1}{|x|}\) space decay property.
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    Navier-Stokes equations
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    exterior problem
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    periodically moving obstacle
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    time-periodic solution
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    space decay
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    uniqueness
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