W. Ye

activity

20202022

most citedOn the weak solutions for the MHD systems with controllable total energy and cross helicity

12 citations · 17 across the 11 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

Sharp and strong non-uniqueness for the magneto-hydrodynamic equations

Yao Nie, Weikui Ye

In this paper, 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…

math.AP2022★ 12 cited

On the weak solutions for the MHD systems with controllable total energy and cross helicity

Changxing Miao, Weikui Ye

In this paper, we prove the non-uniqueness of three-dimensional magneto-hydrodynamic (MHD) system in $C ([0, T]; L^{2} (T^{3}))$ for any initial data in $H^{β ˉ} (T^{3})$ ~…

math.AP2022

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in $C^{1/3 - ε}$

Calvin Khor, Changxing Miao, Weikui Ye

Let $0 < β < β ˉ < 1/3$ . We construct infinitely many distributional solutions in $C_{x, t}^{β}$ to the three-dimensional Euler equations that do not conserve the energy, for a given init…

Sharp and strong non-uniqueness for the magneto-hydrodynamic equations

On the weak solutions for the MHD systems with controllable total energy and cross helicity

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in C1/3−ε

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in $C^{1/3 - ε}$