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梅鑫钰

发布日期:2023-02-27点击:


教师姓名:梅鑫钰

职    称:副教授

系    所:数学系

主要研究领域:无穷维动力系统与非线性分析中各类耗散机制下双曲型发展方程相关系统的超临界、非局部问题及其长时间动力学行为研究等

电子邮件:meixy@ynu.edu.cn

教育背景:

2016-2019,兰州大学william威廉中文官网,基础数学,理学博士
2013-2016,兰州大学william威廉中文官网,基础数学,理学硕士

2009-2013, 黄淮公司数学科学系,数学与应用数学,理学学士

工作经历:

2022.10至今,william威廉中文官网;

2020.4-2022.6,深圳大学william威廉中文官网博士后.

代表性学术论著:

[1] Xinyu Mei and Chunyou Sun, Uniform attractors for a weakly damped wave equation with sup-cubic nonlinearity, Appl. Math. Lett., 95(2019), 179–185.

[2] Xinyu Mei, Yangmin Xiong and Chunyou Sun, Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity, Discrete Contin. Dyn. Syst., 41(2021), no. 2, 569–600.

[3] Xinyu Mei, Anton Savostianov, Chunyou Sun and Sergey Zelik, Infinite energy solutions for weakly damped quintic wave equations in R^3, Trans. Amer. Math. Soc., 374(2021), no. 5, 3093–3129.

[4] Xinyu Mei, Tao Sun and Kaixuan Zhu, Time-dependent attractors for the strongly damped wave equations with lower regular forcing term, Topol. Methods Nonlinear Anal., 60 (2022), no. 2, 653–672.

[5] Kaixuan Zhu, Yongqin Xie, Xinyu Mei and Xijun Deng, Uniform attractors for the sup-cubic weakly damped wave equations with delays, Acta Math. Sci. Ser. A (Chin. Ed.), 42(2022), no. 1, 86–102.

[6] Yangmin Xiong and Xinyu Mei, Uniform attractor and its Kolmogorov entropy for a damped sup-cubic wave equation with state-dependent delay, Commun. Pure Appl. Anal. 22(2023), no. 12, 3343–3362.

[7] Feng Zhou, Ziying Sun, Kaixuan Zhu and Xinyu Mei; Exponential attractors for the sup-cubic wave equation with nonlocal damping, Bull. Malays. Math. Sci. Soc. 47(2024), no. 4, Paper No. 104, 34 pp.

[8] Xinyu Mei, Kaixuan Zhu and Feng Zhou, Pullback attractors for the strongly damped wave equations with delays, Discrete Contin. Dyn. Syst. Ser. B, 37(2026), 153–174.

[9] Wenjuan Zhang, Chengfei Ai, Xinyu Mei, Kuisheng Zhao and Kaixuan Zhu, Pullback exponential attractors for hyperbolic equations with delays and nonlocal damping, J. Math. Phys., 67(2026), no. 1, Paper No. 012706.


代表性教学科研项目:

1.中国博士后科学基金第69批面上资助项目,2021M692198,2021/06-2022/07,主持

2.国家自然科学青年基金,12201421,带有超临界指数的非线性耗散双曲型方程解的渐近行为研究,2023/01-2025/12,主持

3.云南省基础研究专项面上项目,202401AT070483,一类带非单调记忆核的(超)临界双

曲型方程的长时间动力学行为,2024/03-2027/02,主持

4.2023年入选云南省“兴滇人才”青年人才项目

主要学术任职:

1.《美国数学评论》评论员(MR189173)


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