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…
Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions
Bo You, Fang Li, Chang Zhang
In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinea…
Homogenization: in Mathematics or Physics?
Shixin Xu, Changrong Zhang, Xingye Yue
Homogenization appeared more than 100 years ago. It is an approach to study the macro-behavior of a medium by its micro-properties. In mathematics, homogenization theory considers…