22 citations · 76 across the 20 of their papers we have counts for
20 papers
Local well-posedness of the boundary layer for a pseudo-plastic fluid by energy methods
Zhonger Wu, Zhong Tan
We study the well-posedness of the boundary layer for a pseudo-plastic fluid by energy methods under Oleinik's monotonicity assumption. We need to address two main difficulties: de…
Blowup dynamics for equivariant critical Landau--Lifshitz flow
Fangyu Han, Zhong Tan
The existence of finite time blowup solutions for the two-dimensional Landau--Lifshitz equation is a long-standing problem, which exists in the literature at least since 2001 (E, M…
Global small solutions of MHD boundary layer equations in Gevrey function space
Zhong Tan, Zhonger Wu
In this paper, we obtain global small solutions and decay estimates for the MHD boundary layer in Gevrey space without any structural assumptions, generalizing the results of \cite…
On behavior of solutions to a Petrovsky equation with damping and variable-exponent source
Menglan Liao, Zhong Tan
This paper deals with the following Petrovsky equation with damping and nonlinear source \[u_{tt}+Δ^2 u-M(\|\nabla u\|_2^2)Δu-Δu_t+|u_t|^{m(x)-2}u_t=|u|^{p(x)-2}u\] under initial-b…
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}…
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…