京都大学 NLPDE セミナー

京都大学 NLPDE セミナー
Kyoto University NLPDE Seminar

このセミナーは非線形微分方程式を中心に解析の研究に関して討論するセミナーです.

日時
毎週金曜日 Every Friday 15:30 〜 17:30
会場
京都大学 理学研究科 3 号館 251 号室 (会場へのアクセス
Room 251 at Science Building No.3, Kyoto University (map
幹事
堤誉志雄, 前川泰則, 岸本展, 阿部健, 池田正弘, 山崎陽平


次回のセミナーの予定
Upcoming seminar

● 2016 年 6 月 3 日 15:30 〜 17:30
講演者
山崎 和壽雄 氏 (ワシントン州立大学)
Kazuo Yamazaki (Washington State University)
講演題目
On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
講演要旨
Whether the solution to the systems of equations in fluid mechanics, such as the Navier-Stokes and the magneto-hydrodynamics, remain smooth for all time in a three-dimensional space remains a challenging open problem. In 1962 Serrin provided a certain space-time integrability condition in a scaling-invariant norms for the weak solution to the Navier-Stokes system, which is a three-dimensional velocity vector field, to be smooth. We discuss recent developments in the research direction in effort to improve such integrability conditions so that we only have to impose the condition on only one of the three velocity vector field components, instead of all of three, as well as its extension to the magneto-hydrodynamics system. The proof crucially relies on a key identity which is a consequence of the divergence-free property, and techniques from anisotropic Littlewood-Paley theory.


今後のセミナーの予定
Schedules of future seminars

5 月 27 日
(お休み)
(No Seminar)

6 月 3 日
山崎 和壽雄 氏 (ワシントン州立大学)
Kazuo Yamazaki (Washington State University)

6 月 10 日
(お休み)
(No Seminar)

6 月 17 日
陳 逸昆 氏 (京都大学大学院情報学研究科)
I-Kun Chen (Kyoto University)