所属学院：

数学与统计学院

导师类别：

硕士生导师

科研方向：

偏微分方程

联系方式：

招生学院：

数学与统计学院

个人简述

(限300字)

主要从事非线性偏微分方程适定性的研究，研究兴趣主要集中双曲-抛物耦合偏微分方程组（流体力学中的相关模型和生物趋化模型）。在Mathematische Annalen，SIAM Journal on Mathematical Analysis，Journal of Differential Equations， Journal of the London Mathematical Society，Indiana University Mathematics Journal，Science China Mathematics等国内外权威期刊发表科研论文20余篇，主持2项国家自然科学基金（面上、青年各1项），省部级基金3项。

学科领域

偏微分方程

  教育背景  

香港理工大学，应用数学系，博士后

华中师范大学，基础数学，博士

华中师范大学，应用数学，硕士

华中师范大学，数学与应用数学，本科

工作经历

2017年进入广东工业大学应用数学学院，2019年任评为副教授，2022年任学院副院长

  主要论文  

1、 Hong, Guangyi; Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang；Global existence for a class of large solution to compressible Navier–Stokes equations with vacuum，Mathematische Annalen，2023，DOI：10.1007/s00208-023-02573-2.

2、 Peng, Hongyun ,Zhai Xiaoping, The Cauchy problem for the $N$-dimensional compressible Navier-Stokes equations without heat Conductivity. 2023, SIAM J. Math. Anal, in press.

3、 Liu, Qingqing; Peng, Hongyun; Wang, Zhi-An Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis. SIAM J. Math. Anal. 54 (2022), no. 1, 1313–1346.

4、 Liu, Qingqing; Peng, Hongyun; Wang, Zhi-An Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis. J. Differential Equations 314 (2022).

5、 Hong, Guangyi; Peng, Hongyun; Zhu, Changjiang The relaxation limit of a compressible gas-liquid model with well-reservoir interaction. Indiana Univ. Math. J. 71 (2022), no. 3, 1349–1370.

6、 Peng, Hongyun; Wang, Zhi-An; Zhu, Changjiang Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data. Sci. China Math. 65 (2022), no. 2, 269–290.

7、 Hong, Guangyi; Peng, Hongyun; Wang, Zhi-An; Zhu, Changjiang Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modeling vascular networks. J. Lond. Math. Soc. (2) 103 (2021), no. 4, 1480–1514.

8、 Peng, Hongyun; Wang, Zhian On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity. J. Differential Equations 268 (2020), no. 8, 4374–4415.

9、 Peng, Hongyun; Wang, Zhi-An Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations. J. Differential Equations 265 (2018), no. 6, 2577–2613.

10、 Hong, Guangyi; Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global existence for a class of large solutions to three-dimensional compressible magnetohydrodynamic equations with vacuum. SIAM J. Math. Anal. 49 (2017), no. 4, 2409–2441.