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math.AP2025
Global classical solutions to a two-dimensional chemotaxis-fluid system involving signal-dependent degenerate diffusion
Yansheng Ma, Peter Y. H. Pang, Yifu Wang
This paper is concerned with the two-dimensional chemotaxis-fluid model \begin{equation*} \begin{cases} n_t+u\cdot\nabla n=Î(nÏ(v))+μn(1-n),\\ v_t+u\cdot\nabla v=Îv-nv,\\ u_t+…
math.AP2025
Long time dynamics of the Cauchy problem for the predator-prey model with cross-diffusion
Chunhua Jin, Yifu Wang
This paper is concerned with a predator-prey model in -dimensional spaces (), given by \begin{align*}\left\{\begin{aligned} &\frac{\partial u}{\partial t}=Îu-Ï\nabl…
math.AP2025
Small-mass solutions in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with indirect nutrient consumption
Ai Huang, Peter Y. H. Pang, Yifu Wang
This paper is concerned with the singular chemotaxis-fluid system with indirect nutrient consumption: $ n_{t}+u\cdot\nabla n=În-\nabla\cdot(n S(x,n,v)\cdot \nabla v);\ v_{t}+u\cdo…