no code implementations • 8 Mar 2021 • Tianyuan Xu, Shanming Ji, Ming Mei, Jingxue Yin
This paper is concerned with the critical sharp traveling wave for doubly nonlinear diffusion equation with time delay, where the doubly nonlinear degenerate diffusion is defined by $\Big(\big|(u^m)_x\big|^{p-2}(u^m)_x\Big)_x$ with $m>0$ and $p>1$.
Analysis of PDEs
no code implementations • 24 Dec 2020 • 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-\chi\nabla\cdotp \left(\displaystyle\frac n {c}\nabla c\right)+n(r-\mu n), c_t+u\cdot \nabla c=\triangle c-nc, u_t+ (u\cdot \nabla) u=\Delta u+\nabla P+n\nabla\phi, \nabla\cdot u=0, \end{array}\right.
Analysis of PDEs 35K55, 35Q30, 35B40, 35Q92, 76D05, 92C17
no code implementations • 30 Nov 2020 • Tianyuan Xu, Shanming Ji, Ming Mei, Jingxue Yin
We are concerned with a class of degenerate diffusion equations with time delay describing population dynamics with age structure.
Analysis of PDEs
