5 papers
Boundedness and exponential stabilization in a degenerate migration-consumption system with logistic damping
Ai Huang, Jing Li, Yifu Wang
We study the no-flux problem for a taxis-type migration-consumption system with logistic damping in a bounded planar domain, where the motility function \(ϕ\) vanishes at zero and…
Spatial inhomogeneity for a three-dimensional doubly degenerate nutrient system with indirect consumption
Ai Huang, Xiangmao De-ji, Jing Li +1
This paper investigates the global dynamics of a doubly degenerate nutrient-taxis system with indirect consumption: \begin{equation*} \left\{ \begin{aligned} &u_{t}=\nabla \cdot (u…
Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
De-Ji-Xiang-Mao, Ai Huang, Yifu Wang
The doubly degenerate nutrient taxis system \begin{equation}\label {0.1} \left\{ \begin{aligned} &u_{t}=\nabla \cdot (uv\nabla u)-χ\nabla \cdot (u^αv\nabla v)+\ell uv,&x\in Ω,\, t>…
Bursting bubbles in Herschel-Bulkley fluids: dynamics and jetting transitions
A. H. Ghaemi, Z. Yang, A. Huang +3
When a bubble rises to a free surface, its bursting dynamics in Newtonian fluids are governed by the interplay between viscous, capillary, and gravitational forces. In this work, w…
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…