7 citations · 14 across the 9 of their papers we have counts for
9 papers
Stability of vertically charged steady magnetic field in 3D incompressible magneto-micropolar fluids without magnetic and angular viscosity in a strip domain
Zefu Feng, Guangyi Hong, Jiahong Wu +1
This paper intends to understand the regularity and stability problem on the 3D incompressible magneto-micropolar equations with zero magnetic and angular viscosities in a strip do…
Boundary symmetry breaking via logistic damping in a chemotaxis-growth system
Yiren Chen, Padi Fuster Aguilera, Vincent Martinez +1
We establish global stability for a chemotaxis-growth model with logarithmic sensitivity under dynamic Dirichlet boundary conditions on a 1D domain. We analyze both parabolic-parab…
Iterative projection method for unsteady Navier-Stokes equations with high Reynolds numbers
Xiaoming Zheng, Kun Zhao, Jiahong Wu +2
A new iterative projection method is proposed to solve the unsteady Navier-Stokes equations with high Reynolds numbers. The convectional projection method attempts to project the i…
Global stability of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions
Padi Fuster Aguilera, Kun Zhao
This paper studies the dynamical behavior of classical solutions to a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, subject to ti…
On a Class of Nonlocal SIR Models
Li, Guan, Dong Li +2
We revisit the classic Susceptible-Infected-Recovered (SIR) epidemic model and one of its nonlocal variations recently developed in \cite{Guan}. We introduce several new approaches…
On 3D Hall-MHD equations with fractional Laplacians: global well-posedness
Huali Zhang, Kun Zhao
Cauchy problem for 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) system with fractional Laplacians is studied. First, global well-posedness of small-energy solutions with…
Large Time Behavior and Diffusion Limit for a System of Balance Laws From Chemotaxis in Multi-dimensions
Tong Li, Dehua Wang, Fang Wang +2
We consider the Cauchy problem for a system of balance laws derived from a chemotaxis model with singular sensitivity in multiple space dimensions. Utilizing energy methods, we fir…
The existence of optimal control for continuous-time Markov decision processes in random environments
Jinghai Shao, Kun Zhao
In this work, we investigate the optimal control problem for continuous-time Markov decision processes with the random impact of the environment. We provide conditions to show the…
Analysis of a Mixture Model of Tumor Growth
John Lowengrub, Edriss S. Titi, Kun Zhao
We study an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Hele-Shaw system that models tumor growth. For large initial data with finite energy, we prove global…