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- W816613059 abstract "We consider a single disk moving under the influence of a two dimensional viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is independent of $${varepsilon}$$ , the energy equality is not sufficient to obtain a uniform estimate for the solid velocity. This will be achieved thanks to the optimal L p −L q decay estimates of the semigroup associated to the fluid-rigid body system and to a fixed point argument. Next, we will deduce the convergence to the solution of the Navier–Stokes equations in $${mathbb{R}^{2}}$$ ." @default.
- W816613059 created "2016-06-24" @default.
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- W816613059 date "2016-11-10" @default.
- W816613059 modified "2023-10-12" @default.
- W816613059 title "Small Moving Rigid Body into a Viscous Incompressible Fluid" @default.
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- W816613059 doi "https://doi.org/10.1007/s00205-016-1058-z" @default.
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