5 papers
Well-posedness and global attractor for wave equation with displacement dependent damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Chang Zhang
This work investigates the semilinear wave equation featuring the displacement dependent term and nonlinearity . By developing refined space-time a priori…
Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Chang Zhang
In this paper, we consider the semilinear wave equation involving the nonlinear damping term and nonlinearity . The well-posedness of the weak solution satisfying s…
Well-posedness and global attractor for wave equation with nonlinear damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Xiaoying Han +1
This study investigates a semilinear wave equation characterized by nonlinear damping and nonlinearity . First, the well-posedness of weak solutions across broader…
Nodal solutions for quasilinear Schrödinger equations with asymptotically 3-linear nonlinearity
Hui Zhang, Fengjuan Meng, Jianjun Zhang
In this paper, we are concerned with the quasilinear Schrödinger equation \begin{equation*} -Δu+V(x)u-uΔ(u^2)=g(u),\ \ x\in \mathbb{R}^{N}, \end{equation*} where , is r…
Quasilocal Center-of-Mass
James M. Nester, Feng-Feng Meng, Chiang-Mei Chen
Gravitating systems have no well-defined local energy-momentum density. Various quasilocal proposals have been made, however the center-of-mass moment (COM) has generally been over…