Výsledky vyhledávání - "Hong, Guangyi"

Report

Convergence of boundary layers of chemotaxis models with physical boundary conditions~II: Non-degenerate

Autor: Hong, Guangyi, Wang, Zhi-An

This paper establishes the convergence of boundary-layer solutions of the consumption type Keller-Segel model with non-degenerate initial data subject to physical boundary conditions, which is a sequel of \cite{Corrillo-Hong-Wang-vanishing} on the ca

Externí odkaz: http://arxiv.org/abs/2412.03998

Zobrazit plný text záznamu

Report

Convergence of boundary layers of chemotaxis models with physical boundary conditions I: degenerate initial data

Autor: Carrillo, Jose Antonio, Hong, Guangyi, Wang, Zhi-an

The celebrated experiment of Tuval et al. \cite{tuval2005bacterial} showed that the bacteria living a water drop can form a thin layer near the air-water interface, where a so-called chemotaxis-fluid system with physical boundary conditions was propo

Externí odkaz: http://arxiv.org/abs/2401.01437

Zobrazit plný text záznamu

Report

On the Splash Singularity for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic equations in 3D

Autor: Hong, Guangyi, Luo, Tao, Zhao, Zhonghao

In this paper, the existence of finite-time splash singularity is proved for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic (MHD) equations in $ \mathbb{R}^{3}$, based on a construction of a sequence of

Externí odkaz: http://arxiv.org/abs/2309.09747

Zobrazit plný text záznamu

Report

Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions

Autor: Hong, Guangyi, Wang, Zhian

In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux and Dirichlet boundary conditions in one dimension. Since the Dirichlet boundary condition can not contribute necessary estimates for the cross-diffusion structu

Externí odkaz: http://arxiv.org/abs/2101.07405

Zobrazit plný text záznamu

Report

Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modelling vascular networks

Autor: Hong, Guangyi, Peng, Hongyun, Wang, Zhi-An, Zhu, Changjiang

This paper is concerned with the existence and stability of phase transition steady states to a quasi-linear hyperbolic-parabolic system of chemotactic aggregation, which was proposed in \cite{ambrosi2005review, gamba2003percolation} to describe the

Externí odkaz: http://arxiv.org/abs/2011.07258

Zobrazit plný text záznamu