2 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Uniqueness for a stochastic ideal dyadic MHD model
Mimi Dai, Qirui Peng, Cheng Ouyang
We study a stochastic dyadic model with both forward and backward energy cascade mechanisms for the inviscid and non-resistive magnetohydrodynamics. For a particular class of stoch…
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…
Kolmogorov's dissipation number and determining wavenumber for dyadic models
Mimi Dai, Margaret Hoeller, Qirui Peng +1
We study some dyadic models for incompressible magnetohydrodynamics and Navier-Stokes equation. The existence of fixed point and stability of the fixed point are established. The s…