@article{oai:nagoya.repo.nii.ac.jp:00027202, author = {Hishida, Toshiaki}, issue = {3-4}, journal = {Mathematische Annalen}, month = {Dec}, note = {Consider the motion of a viscous incompressible fluid in a 3D exterior domain D when a rigid body R^3∖D moves with prescribed time-dependent translational and angular velocities. For the linearized non-autonomous system, Lq-Lr smoothing action near t=s as well as generation of the evolution operator {T(t,s)}t≥s≥0 was shown by Hansel and Rhandi (J Reine Angew Math 694:1–26, 2014) under reasonable conditions. In this paper we develop the L^q-L^r decay estimates of the evolution operator T(t, s) as (t−s)→∞ and then apply them to the Navier–Stokes initial value problem., ファイル公開:2019/12/01}, pages = {915--949}, title = {Large time behavior of a generalized Oseen evolution operator, with applications to the Navier–Stokes flow past a rotating obstacle}, volume = {372}, year = {2018} }