On the Onsager conjecture
数学专题报告
报告题目(Title)：On the Onsager conjecture
报告人(Speaker)：Samuel Richard Charles （牛津大学）
地点(Place)：2024-7-9（星期二）， 12:00-13:00
时间(Time)：后主楼1225
邀请人(Inviter)：袁迪凡
报告摘要
In this talk I will discuss Onsager's conjecture for energy conservation. Moreover, in 1949 Onsager conjectured that weak solutions to the incompressible Euler equations, that were Hölder continuous with Hölder exponent greater than 1/3, conserved kinetic energy. Onsager also conjectured that there were weak solutions that were Hölder continuous with Hölder exponent less than 1/3 that didn't conserve kinetic energy. I will discuss the results regarding the former, focusing mainly on the case where the spacial domain is bounded with C^2 boundary, as proved by Bardos and Titi.
