6 citations · 8 across the 7 of their papers we have counts for
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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…
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…
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…