2 citations · 7 across the 7 of their papers we have counts for
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Non-unique weak solutions of forced SQG
Mimi Dai, Qirui Peng
We construct non-unique weak solutions for forced surface quasi-geostrophic (SQG) equation. This is achieved through a convex integration scheme adapted to the…
Non-unique stationary solutions of forced SQG
Mimi Dai, Qirui Peng
We show the existence of non-unique stationary weak solutions for forced surface quasi-geostrophic (SQG) equation via a convex integration scheme. The scheme is implemented for the…
The number of degrees of freedom for the 2D Navier-Stokes equation: a connection with Kraichnan's theory of turbulence
Alexey Cheskidov, Mimi Dai
We estimate the number of degrees of freedom of solutions of the 2D Navier-Stokes equation, proving that its mathematical analog, the number of determining modes, is bounded by the…
Regularity problem for the nematic LCD system with Q-tensor in
Mimi Dai
We study the regularity problem of a nematic liquid crystal model with local configuration represented by Q-tensor in three dimensions. It was an open question whether the classica…