1 citations · 1 across the 3 of their papers we have counts for
8 papers
Asymptotic profile of a two-dimensional chemotaxis--Navier--Stokes system with singular sensitivity and logistic source
Peter Y. H. Pang, Yifu Wang, Jingxue Yin
The chemotaxis--Navier--Stokes system \begin{equation*}\label{0.1} \left\{\begin{array}{ll} n_t+u\cdot \nabla n=\triangle n-χ\nabla\cdotp \left(\displaystyle\frac n {c}\nabla c\rig…
Propagation speed of degenerate diffusion equations with time delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
We are concerned with a class of degenerate diffusion equations with time delay describing population dynamics with age structure. In our recent study [{\em Nonlinearity}, 33 (2020…
A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion
Shanming Ji, Zhian Wang, Tianyuan Xu +1
This paper is concerned with traveling wave solutions for a chemotaxis model with degenerate diffusion of porous medium type. We establish the existence of semi-finite traveling wa…
Variational Approach of Critical Sharp Front Speeds in Density-dependent Diffusion Model with Time Delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
For the classical reaction diffusion equation, the priori speed of fronts is determined exactly in the pioneering paper (R.D. Benguria and M.C. Depassier, {\em Commun. Math. Phys.}…
Sharp, Smooth, and Oscillatory Traveling Waves of Degenerate Diffusion Equation with Delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
We consider the non-monotone degenerate diffusion equation with time delay. Different from the linear diffusion equation, the degenerate equation allows for semi-compactly supporte…
Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations
Tianyuan Xu, Shanming Ji, Rui Huang +2
This paper is concerned with the global stability of non-critical/critical traveling waves with oscillations for time-delayed nonlocal dispersion equations. We first theoretically…