2 papers
math.AP2025
Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane
Yi Peng, Huaqiao Wang, Chenlu Zhang
We prove the non-uniqueness of weak solutions with non-trivial magnetic fields to the 3D Hall-MHD equations on the plane in the space through the convex integration s…
math.AP2024
Well-posedness for the semilinear wave equations with nonlinear damping on manifolds with conical degeneration
Gongwei Liu, Yi Peng, Peng Li
This paper deals with a class of semilinear wave equation with nonlinear damping term and nonlinear source term on the manifolds with conical s…