4 papers
math.AP2026
Non-uniqueness for the hypo-dissipative compressible 3D magnetohydrodynamic equations
Haobin Li, Peng Qu
We consider the compressible 3D magnetohydrodynamic (MHD) equations under general pressure laws. For all hypo-viscosities and hypo-resistivity with $Î…
math.AP2026
Non-uniqueness of weak solutions to the 3-D stationary MHD equations in Besov space with negative regularity index
Peng Qu, Mingxin Zhang
In this paper, we study the 3-D incompressible fractional stationary MHD equations on the torus . For fractional power indices we prove that there exi…
math.AP2025
The null condition in elastodynamics leads to non-uniqueness
Shunkai Mao, Peng Qu
We consider the Cauchy problem for the system of elastodynamic equations in two dimensions. Specifically, we focus on materials characterized by a null condition imposed on the qua…
math.AP2025
Non-uniqueness for the nonlinear dynamical Lamé system
Shunkai Mao, Peng Qu
We consider the Cauchy problem for the nonlinear dynamical Lamé system with double wave speeds in a -dimensional periodic domain. Moreover, the equations can be trans…