流体数学セミナー

第 25 回　流体数学セミナー

日　時: 2026 年 4 月 13日(月) 15時30分～ 17時
場所・教室:　お茶の水女子大学理学部 1号館 629教室
講演者:　朝見　陽介氏(名古屋大学大学院多元数理科学研究科)
講演題目:　Regularity properties of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes initial value problem
講演要旨:　Consider a generalized Oseen evolution operator in 3D exterior domains, that is generated by a non-autonomous linearized system arising from time-dependent rigid motions. This was found by Hansel and Rhandi, and then the theory was developed by Hishida, however, desired regularity properties such as estimate of the temporal derivative as well as the Hölder estimate have remained open. In this talk, we show those properties together with weighted smoothing estimates of the evolution operator. The results are then applied to the Navier-Stokes initial value problem, so that a new theorem on existence of a unique strong $L^q$-solution locally in time is proved. If time permits, we will also briefly discuss weighted decay estimates of the evolution operator. This talk is based on a joint work with Professor Toshiaki Hishida (Nagoya University).

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流体数学セミナー　世話人