3 papers
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…
cond-mat.soft2023
Scaling transition of active turbulence from two to three dimensions
Da Wei, Yaochen Yang, Xuefeng Wei +4
Turbulent flows are observed in low-Reynolds active fluids. They are intrinsically different from the classical inertial turbulence and behave distinctively in two- and three-dimen…
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…