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math.AP2022
Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations
Yachun Li, Zirong Zeng, Deng Zhang
We prove the non-uniqueness of weak solutions to 3D hyper viscous and resistive MHD in the class , where the exponents lie in two supercritical regimes. T…
math.AP2014★ 3 cited
On classical solutions to 2D Shallow water equations with degenerate viscosities
Yachun Li, Ronghua Pan, Shengguo Zhu
In this paper, the -D isentropic Navier-Stokes systems for compressible fluids with density-dependent viscosity coefficients are considered. In particular, we assume that the vi…