| Abstract: |
| We consider the spatial-temporal behavior of the Navier-Stokes flow past a three dimensional rigid body and
deduce the temporal decay rate with the spatial weight caused by translation.
The key tool is the $L^p$-$L^q$ estimate of the Oseen semigroup in exterior domains and
we develop the weighted $L^q$ theory of the Oseen semigroup.
New results on the Stokes semigroup in isotropic $L^q$ spaces are also discussed. |
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