第 30 回　流体数学セミナー

• • 日　  時:  2026 年 11 月 19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 　637室　　　　　　　　　　　　　　　　　(いつもと教室が違いますのでご注意ください)
  • 講 演 者:　青木　基記 氏(東京理科大学 創域理工学部)
  • 講演題目:　Onsager’s conjecture and energy conservation law for the Euler equation in bounded domains
  • 講演要旨:　In this talk, we consider sufficient conditions for weak solutions of the incompressible Euler equation in bounded domains to satisfy the energy conservation law. This problem is related to Onsager’s conjecture.　Constantin–E–Titi proved energy conservation for weak solutions with regularity above 1/3 in the whole space, and Cheskidov–Constantin–Friedlander–Shvydkoy established the corresponding result at the critical regularity 1/3. For bounded domains, previous results corresponding to the result of Constantin–E–Titi required an additional assumption near the boundary. We establish the energy conservation law in bounded domains under a condition corresponding to that of Cheskidov et al., using Besov spaces associated with the Stokes operator. Our approximation preserves the slip boundary condition, which allows us to remove the additional assumption near the boundary required in previous works. This is joint work with Tsukasa Iwabuchi (Tohoku University).

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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)