3 papers
math.AP2026
Global solvability to a two-dimensional chemotaxis-Euler system with Robin boundary conditions on oxygen
Qianqian Hou
This paper is concerned with the global solvability of a chemotaxis-Euler system in bounded domains of . Completing the system with physical boundary conditions, we f…
math.AP2025
Boundary layer effects induced by the fluid in a chemotaxis-Navier-Stokes system
Qianqian Hou
This paper is concerned with the boundary layer problem on a chemotaxis-Navier-Stokes system modelling the boundary layer formation of aerobic bacteria in fluids. Completing this s…
math.NA2025
A modified dynamic diffusion finite element method with optimal convergence rate for convection-diffusion-reaction equations
Shaohong Du, Qianqian Hou, Xiaoping Xie
In this paper, we develop a modified nonlinear dynamic diffusion (DD) finite element method for convection-diffusion-reaction equations. This method is free of stabilization parame…