第 29 回　流体数学セミナー

• • 日　  時:  2026 年 10 月 8日(木) 15時30分 ～ 17時
  • 場所・教室:　お茶の水女子大学理学部 1号館 　未定
  • 講 演 者:　菱田 俊明 氏(名古屋大学　多元数理科学研究科)
  • 講演題目:　Large time decay of the fluid-structure semigroup subject to the  Navier slip-with-friction boundary condition
  • 講演要旨:　Consider the motion of a rigid body moving into a viscous incompressible fluid that fills the whole space in 3D. The fluid motion obeys the Navier-Stokes system, while the motion of the body is governed by the Newton law. Both motions are affected by each other at the fluid-solid interface through the Navier slip-with-friction boundary condition, which is known as a substitution for the no-slip one to resolve the no-collision paradox.
    We adopt a monolithic approach and carry out the spectral analysis to deduce the large time behavior of the fluid-structure semigroup, where the shape of the body is allowed to be arbitrary. What is remarkable is that the decay structure is somewhat different under the full slip condition when the body is axially symmetric. If, in particular, the body is a ball, we then apply the linear theory developed above to the nonlinear initial value problem to show the stability of the rest state. It is, furthermore, asymptotically stable except for the full slip case. This talk is based on a joint work with Bum Ja Jin (Mokpo, South Korea).

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また,  流体数学セミナーは今後不定期で開催する予定です.

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流体数学セミナー　世話人

• • 齋藤平和(電気通信大学)
  • 村田美帆(静岡大学)
  • 渡邊圭市(公立諏訪東京理科大学)
  • 久保隆徹(お茶の水女子大学)