流体数学セミナー

第 20 回　流体数学セミナー

日　時: 2025 年 6 月 13日(金) 16時～ 17時
場所・教室:　お茶の水女子大学理学部1号館633教室
講演者:　黄裕淙氏( 東京科学大学情報理工学院数理・計算系)
講演題目:　The stability of spherically out-flowing viscous gas with general initial perturbation.
講演要旨: In this talk, I will discuss the time-asymptotic stability of a 3-dimensional spherically-symmetric out-flowing stationary solution to the compressible Navier-Stokes equations. More specifically, the fluid under consideration occupies an exterior domain of the unit ball. At the surface of the ball, the fluid is flowing out at a constant speed in the normal direction to the sphere. Under the assumption that fluid velocity at the far-field is 0 and the flow speed at the boundary sphere is sufficiently small, I. Hashimoto and A. Matsumura in 2021 proved the existence and uniqueness of a spherically-symmetric stationary solution. In this presentation, I will illustrate that such stationary solution is stable asymptotically in time under 2 types of initial perturbations: 1. spherically-symmetric initial data with large norm in some weighted H^1 Sobolev space; 2. general possibly non spherically-symmetric initial data with small norm in H^3 Sobolev space.

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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