| Abstract: |
| We talk the large time behavior of the solutions of the Stokes fluid-solid system.
We compute the asymptotic expansion of the solution for $L^q$ integrable initial data $U_0$.
We show that the asymptotic profile of the solution is a linear combinations of the Stokes fundamental solution for the data with extra condition $|x|U_0\in L^1$.
We also show that $L^1$ integrability of the solution is strongly related to the net force exerted by the fluid on the boundary of the solid.\ |
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