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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…
math.AP2023
Weak solutions to the Hall-MHD equations whose singular sets in time have Hausdorff dimension strictly less than 1
Yi Peng, Huaqiao Wang
In this paper, we focus on the three-dimensional hyper viscous and resistive Hall-MHD equations on the torus, where the viscous and resistive exponent with a fixed…