@article{oai:nagoya.repo.nii.ac.jp:00026896, author = {Hishida, Toshiaki and Maremonti, Paolo}, issue = {2}, journal = {Journal of Mathematical Fluid Mechanics}, month = {Jun}, note = {Consider the Navier–Stokes flow in 3-dimensional exterior domains, where a rigid body is translating with prescribed translational velocity −h(t)u∞ with constant vector u∞∈R^3∖{0}. Finn raised the question whether his steady solutions are attainable as limits for t→∞ of unsteady solutions starting from motionless state when h(t)=1 after some finite time and h(0)=0 (starting problem). This was affirmatively solved by Galdi et al. (Arch Ration Mech Anal 138:307–318, 1997) for small u∞. We study some generalized situation in which unsteady solutions start from large motions being in L^3. We then conclude that the steady solutions for small u∞ are still attainable as limits of evolution of those fluid motions which are found as a sort of weak solutions. The opposite situation, in which h(t)=0 after some finite time and h(0)=1 (landing problem), is also discussed. In this latter case, the rest state is attainable no matter how large u∞ is., ファイル公開:2019/06/01}, pages = {771--800}, title = {Navier–Stokes Flow Past a Rigid Body: Attainability of Steady Solutions as Limits of Unsteady Weak Solutions, Starting and Landing Cases}, volume = {20}, year = {2018} }