•  副教授

洪广益

发布时间:2025-04-17文章来源:华南理工大学数学学院浏览次数:8386


工作经历

  • 20218月至今,华南理工大学,数学学院,助理教授
  • 20197--20217月,香港理工大学,应用数学系,博士后

访问经历

  • 20178--20189月,美国匹兹堡大学数学系,访问博士生
  • 20172--20174月,香港城市大学数学系,访问博士生

教育背景

  • 20159--20196月,华南理工大学,数学学院,基础数学,博士
  • 20129--20156月,华中师范大学,数学与统计学学院,基础数学,硕士
  • 20089--20126月,华南师范大学,数学科学学院,数学与应用数学,本科

研究方向:非线性偏微分方程、流体力学方程的数学理论

硕士招生方向: 应用数学


科研项目:

1.国家自然科学基金-青年项目(12201221)2023-2025.
2.广东省区域联合基金-青年项目(2021A1515111038)2021-2024.

科研论文:

Guangyi Hong, Tao Luo, and Zhonghao Zhao, On the splash singularity for the free-boundaryproblem of the viscous

and non-resistive incompressible magnetohydrodynamic equations in 3D, J. Differential Equations, 419:40-80, 2025.

Guangyi Hong, Jinjing Li, Jing Wei, and Changjiang Zhu, Decay rates for solutions to the compressible Navier-

Stokeequations with vacuum free boundary and large initial data, Indiana Univ. Math. J., 73(5):1715-1745,  2024.

Zefu Feng, Guangyi Hong, and Changjiang Zhu, Global classical solutions for 3D compressible magneto-micropolar

fluids without resistivity and spin viscosity in a strip domain, Sci. China Math., 67(11):2485-2514, 2024.

José A. Carrillo, Guangyi Hong, Z.-A.Wang, Convergence of Boundary Layers of Chemotaxis Models with Physical

Boundary Conditions I: Degenerate Initial Data, SIAM J. Math. Anal., 56(6):7576-7643, 2024.

Guangyi Hong, Xiaofeng Hou, Hongyun Peng, and Changjiang Zhu, Global existence for aclass of large solution to

compressible Navier–Stokes equations with vacuum, Math. Ann., 388(2):2163-2194, 2024.

Guangyi Hong, Optimal decay rates for the viscous two-phase model without constraintson transition to single-phase

flow, J. Differential Equations, 370:202-239, 2023.

Guangyi Hong, Hongyun Peng, and Changjiang Zhu, The relaxation limit of a compressible gas-liquid model with

well-reservoir interaction, Indiana Univ. Math. J., 71(3):1349-1370, 2022.

Guangyi Hong and Zhi-An Wang, Asymptotic stability of exogenous chemotaxis systems with physical boundary

conditions, Quart. Appl. Math., 79(4):717-743, 2021.

Zefu Feng, Guangyi Hong, and Changjiang Zhu, Optimal time decay of the compressible Navier-Stokes equations

for a reacting mixture, Nonlinearity, 34(9):5955-5978, 2021.

Guangyi Hong, Hongyun Peng, Zhi-An Wang, and Changjiang Zhu, Nonlinear stability of phase-transition steady

states to a hyperbolic-parabolic system modeling vascular networks, J. London Math. Soc., 103(4):1480-1514, 2021.

Guangyi Hong and Changjiang Zhu, Optimal decay rates on compressible Navier-Stokes equations with degenerate

viscosity and vacuum, J. Math. Pures Appl. (9), 124:1-29, 2019.

Guangyi Hong, Huanyao Wen, and Changjiang Zhu, Large-time behavior of the spherically symmetric compressible

Navier-Stokes equations with degenerate viscosity coefficients, Z. Angew. Math. Phys., 70(2): Paper No. 59, 43, 2019.

Guangyi Hong, Tao Luo, and Changjiang Zhu, Global solutions to physical vacuum problem of non-isentropic vis-

cous gaseous stars and nonlinear asymptotic stability of stationary solutions, J. Differential Equations, 265(1):177

-236, 2018.

Guangyi Hong and Changjiang Zhu, Optimal decay rates on the solution to the compressible gas-liquid drift-flux mo-

del with slip, Math. Models Methods Appl. Sci., 28(2):337-386, 2018.

Guangyi Hong, Xiaofeng Hou, Hongyun Peng, and Changjiang Zhu, Global existence for a class of large solutions 

to three-dimensional compressible magnetohydrodynamic equations with vacuum, SIAM J. Math. Anal., 49(4):2409

-2441, 2017.

Guangyi Hong, Xiaofeng Hou, Hongyun Peng, and Changjiang Zhu, Global spherically symmetric classical solution

to the Navier-Stokes-Maxwell system with large initial data and vacuum, Sci. China Math., 57(12):2463-2484, 2014.


 



 

 






电子邮箱: magyhong@scut.edu.cn

办公室:4号楼4226