Infinitely Many Non-conservative Solutions for the 3D Euler Equations with Arbitrary (1/3-epsilon) Holder Initial Data -

Infinitely Many Non-conservative Solutions for the 3D Euler Equations with Arbitrary (1/3-epsilon) Holder Initial Data

Time: 2022-04-12 Published By: He Liu

Speaker(s): Calvin Khor (Beijing Computational Science Research Center)

Time: 10:30-11:30 April 19, 2022

Venue: Room 29, Quan Zhai, BICMR

Let 0<r<s<1/3. We construct infinitely many distributional r-Holder solutions to the 3D Euler Equations for a given s-Holder initial data. We also show that there is some limited control on the increase in the energy for times t>1.