1 citations · 1 across the 4 of their papers we have counts for
5 papers
Asymptotic stability for a class of viscoelastic equations with general relaxation functions and the time delay
Menglan Liao, Zhong Tan
The goal of the present paper is to study the viscoelastic wave equation with the time delay \[ |u_t|^ρu_{tt}-Δu-Δu_{tt}+\int_0^tg(t-s)Δu(s)ds+μ_1u_t(x,t)+μ_2 u_t(x,t-τ)=b|u|^{p-2}…
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|^…
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…
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…
On weak closure of some diffusion equations
Menglan Liao, Lianzhang Bao, Baisheng Yan
We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak -convergence is gi…