3 papers
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=Δ(nϕ(v))+μn(1-n),\\ v_t+u\cdot\nabla v=Δv-nv,\\ u_t+ κ(u\…
math.PR2025
Weak Existence for Degenerate Distribution Dependent SDEs with multiplicative Noise -- a pathwise regularization approach
Fabian Harang, Chengcheng Ling, Peter H. C. Pang
We establish the existence of weak solutions to a class of distribution-dependent stochastic differential equations (DDSDEs) with possibly degenerate multiplicative noise and singu…
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=Δn-\nabla\cdot(n S(x,n,v)\cdot \nabla v);\ v_{t}+u\cdot…