most citedOn Onsager's type conjecture for the inviscid Boussinesq equations

6 citations · 8 across the 3 of their papers we have counts for

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math.AP2024★ 6 cited

On Onsager's type conjecture for the inviscid Boussinesq equations

Changxing Miao, Yao Nie, Weikui Ye

In this paper, we investigate the Cauchy problem for the three dimensional inviscid Boussinesq system in the periodic setting. For , we show that the threshold re…

math.AP2024★ 2 cited

Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces

Qionglei Chen, Yao Nie, Weikui Ye

In this paper, we prove a sharp ill-posedness result for the incompressible non-resistive MHD equations. In any dimension , we show the ill-posedness of the non-resistive M…

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…