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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…