The paper proves global-in-time L^q-L^r decay estimates for the gradient of a generalized Oseen evolution operator in 3D exterior domains, including the optimal rate for q≤r≤3 and an L^q-L^∞ bound, for bounded Hölder-continuous time-dependent translation and rotation.
Hishida, Large time behavior of a generalized Oseen evolution o perator, with applications to the Navier-Stokes flow past a rotating obstacle, Math
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Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains
The paper proves global-in-time L^q-L^r decay estimates for the gradient of a generalized Oseen evolution operator in 3D exterior domains, including the optimal rate for q≤r≤3 and an L^q-L^∞ bound, for bounded Hölder-continuous time-dependent translation and rotation.