Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	聂瑶,南开大学
Inviter:	彭发
Title:	Sharp and strong non-uniqueness for the magneto-hydrodynamic equations
Language:	Chinese
Time & Venue:	2023.09.11 15:00-16:00 腾讯会议:151-392-971
Abstract:	In this talk, we prove a sharp and strong non-uniqueness for a class of weak solutions to the three dimensional magneto-hydrodynamic (MHD) system. More precisely, we show that any weak solution is non-unique in with 1 ≤ p < 2, which reveals the strong non-uniqueness, and the sharpness in terms of the classical Ladyzhenskaya-Prodi-Serrin criteria at endpoint (2, ). Moreover, for any, we can also construct infinitely many weak solutions of the ideal MHD system in . Our result shows the non-uniqueness for any weak solution including non-trivial magnetic field b. This work is joint with Weikui Ye.