4 papers · 1 filter
Admissible solutions of the 2D Onsager's conjecture
Lili Du, Xinliang Li, Weikui Ye
We show that for any there exist Hölder continuous weak solutions of the two-dimensional incompressible Euler equations that…
On Onsager-type conjecture for the Elsässer energies of the ideal MHD equations
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we investigate the ideal magnetohydrodynamics (MHD) equations on tours $\TTT^d$. For , we resolve the flexible part of Onsager-type conjecture for Elsässer ener…
Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3
Changxing Miao, Yao Nie, Weikui Ye
To our knowledge, the convex integration method has been widely applied to the study of non-uniqueness of solutions to the Naiver-Stokes equations in the periodic region, but there…
Sharp non-uniqueness for the Navier-Stokes equations in R^3
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we prove a sharp and strong non-uniqueness for a class of weak solutions to the incompressible Navier-Stokes equations in . To be more precise, we exhibit the…