2 papers
math.AP2025
Dissipative solutions for 2D Onsager's conjecture
Lili Du, Xinliang Li, Weikui Ye
In 1949, L. Onsager conjectured that weak solutions of the Euler equations in are energy conservative when , whereas nonconservative solutions exist when…
math.AP2024
Sharp non-uniqueness for the 2D hyper-dissipative Navier-Stokes equations
Lili Du, Xinliang Li
In this article, we study the non-uniqueness of weak solutions for the two-dimensional hyper-dissipative Navier-Stokes equations in the super-critical spaces w…