20 citations · 22 across the 10 of their papers we have counts for
Showing 2020 · math.APShow all
3 papers · 2 filters
math.AP2020
Energy decay rates of solutions to a viscoelastic wave equation with variable exponents and weak damping
Menglan Liao, Bin Guo, Xiangyu Zhu
The goal of the present paper is to study the asymptotic behavior of solutions for the viscoelastic wave equation with variable exponents \[ u_{tt}-Δu+\int_0^tg(t-s)Δu(s)ds+a|u_t|^…
math.AP2020★ 1 cited
Global existence and blow-up of solutions to a class of non-Newton filtration equations with singular potential and logarithmic nonlinearity
Menglan Liao, Zhong Tan
In this paper, a class of non-Newton filtration equations with singular potential and logarithmic nonlinearity under initial-boundary condition is investigated. Based on potential…
math.AP2020
Classification of blow-up and global existence of solutions to an initial problem
Bin Guo, Jingjing Zhang, Menglan Liao
The aim of this paper is to apply the modified potential well method and some new differential inequalities to study the asymptotic behavior of solutions to the initial homogeneous…