副教授
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罗珍

职称:副教授

职务:

学历:博士

电子邮件:zluo@xmu.edu.cn

联系电话:0592-2580781

办 公 室:海韵数学物理大楼606

教育经历:

(1) 2004.08–2010.07, 香港中文大学, 应用数学, 博士
(2) 1999.8–2004.06, 中国科学技术大学, 数学与应用数学,学士

工作经历:

(1) 2016.3-2016.12, 美国佐治亚理工大学, 数学系, 访问学者
(2) 2015.6-2015.8, 德国曼海姆大学, 商业信息学与数学学院, 访问学者
(3) 2014.8-至今, 厦门大学, 数学科学学院, 副教授
(4) 2012.8-2012.9, 香港中文大学, 数学研究所, 访问学者
(5) 2012.1-2012.2, 韩国浦项工业大学, 数学研究所, 访问学者
(6) 2010.07-2014.07, 厦门大学, 数学科学学院, 讲师

研究方向:

流体动力学方程数学理论

社会兼职:



主持项目:

1. 福建省自然科学基金项目,可压缩牛顿流体力学方程的若干数学问题,2020/08-2023/07。

2. 福建省自然科学基金项目,流体力学方程组及相关模型的理论研究,2017/04-2020/03。

3. 国家自然科学基金青年项目,流体动力学模型解的存在性及稳定性研究,2014/01-2016/12。

4. 福建省自然科学基金项目,含真空可压缩Navier-Stokes方程及浅波方程解的研究,2013/01-2015/12。

论文:

1. Yeping Li, Zhengzheng Chen, Zhen Luo. Stability of the planar rarefaction wave to two-dimensional Navier-Stokes-Korteweg equations of compressible fluids, Mathematical Methods in the Applied Sciences, 43, pp.3307-3330, 2020.


2. Ben Duan, Zhen Luo, Yan Zhou. Existence of strong solutions to the rotating shallow water equations with degenerate viscosities, Analysis and Applications, 18, pp.333-358, 2020.


3. Ben Duan, Zhen Luo, Wei Yan. Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity, Zeitschrift für angewandte Mathematik und Physik ZAMP, 70:54, 2019.


4. Zhen Luo, Yan Zhou. On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities, J. Math. Phys. 60, 091508, 2019; https://doi.org/10.1063/1.5118273.


5. Jiahang Che, Li Chen, Ben Duan, Zhen Luo. On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum,Journal Differential Equations, 261, pp.6758-6789, 2016.

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6. Yeping Li, Zhen Luo, Zero-viscosity-capillarity limit to rarefaction waves for the 1-D compressible Navier-Stokes-Korteweg equations, Mathematical Methods in the Applied Sciences, 39, pp.5513-5528, 2016.


7. Ben Duan, Zhen Luo, Jingjing Xiao, Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles, Communications in Mathematical Sciences, 14, pp. 1023–1047, 2016.


8. Ben Duan, Zhen Luo, Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles, Journal of Mathematical Analysis and Applications, 430, pp.1037–1057, 2015.


9. Zhen Luo, Global existence of classical solutions to two-dimensional
Navier–Stokes equations with Cauchy data containing vacuum, Mathematical Methods in the Applied Sciences, 37, pp.1333-1352, 2014.


10. Ben Duan, Zhen Luo , Dynamic of vacuum states for one-dimensional full compressible Navier-Stokes equations, Communications on Pure and Applied Analysis, 12, pp.2543-2564, 2013.


11. Ben Duan, Zhen Luo, Three-dimensional full Euler flows in axisymmetric nozzles, Journal of Differential Equations, 254, pp.2705-2731, 2013.


12. Ben Duan, Zhen Luo, Yuxi Zheng, Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum, SIAM Journal on Mathematical Analysis, 44, pp.541-567, 2012.


13.  Zhen Luo, Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum, Communications in Mathematical Sciences,
10, pp.527-554, 2012.