基本介绍

姓名:陈爱永

职称:教授,硕士生导师

电子邮件: aiyongchen@163.com

主要教育、学术研究经历

1.2003-2006,昆明理工大学,应用数学专业,硕士

2.2009-2012,昆明理工大学,工程力学专业,博士

3.2014-2015,复旦大学数学科学学院,访问学者

荣誉奖励

1.湖南省“芙蓉学者奖励计划”青年学者

2.湖南省121创新人才培养工程第二层次人选

3.广西杰出青年科学基金获得者

4.获广西自然科学奖二等奖

5.获第十三届广西青年科技奖

研究兴趣

1.微分方程定性理论

2.大气科学与涡旋动力学

3.振动力学与天体力学

承担科研项目

主持国家自然科学基金项目2项

主持广西自然科学基金项目2项

社会任职

湖南第一师范学院科技协会副主席

中国数学会奇异摄动专业委员会委员

国家自然科学基金函评专家

美国《数学评论》评论员

长沙市科技项目评审专家库专家

代表性论著

1.Aiyong Chen, Shuangquan Wen, Shengqiang Tang, Wentao Huang, Zhijun Qiao, Effects of quadratic singular curves in integrable equations, Studies in Applied Mathematics, 134(2015)24-61

2.Aiyong Chen, Lina Guo, Xijun Deng, Existence of solitary waves and periodic waves for a perturbed generalized BBM equation, Journal of  Differential Equations, 261(2016)5324-5349

3.Aiyong Chen, Xinhui Lu, Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation, Discrete and Continuous Dynamical Systems-A,40(2020)1703-1735

4.Aiyong Chen, Wenjing Zhu, Zhijun Qiao, Wentao Huang. Algebraic traveling wave solutions of a non-local hydrodynamic-type model.  Mathematical Physics, Analysis and Geometry. 17(2014)465-482

5.Aiyong Chen, Lina Guo, Wentao Huang, Existence of kink waves and periodic waves for a perturbed defocusing mKdV equation, Qualitative Theory of Dynamical Systems, 17(2018)495-517

6.Aiyong Chen; Tongjie Deng; Zhijun Qiao, Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation, Monatshefte fur Mathematik, 198(2022)251–288 .

7.Aiyong Chen; Chi Zhang; Wentao Huang, Limit speed of traveling wave solutions for the perturbed generalized KdV equation, Discrete and Continuous Dynamical Systems-S, 2022, doi:10.3934/dcdss.20.

8.Xijun Deng, Aiyong Chen, Instability of H1-stable periodic peakons for the µ-Camassa-Holm equation, Journal of Dynamics and Differential Equations, 2022,doi.org/10.1007/s10884-022-10165-y.

9.Tongjie Deng, Aiyong Chen*, Orbital stability of the sum of  N peakons for the generalized higher-order Camassa–Holm equation, Zeitschrift für angewandte Mathematik und Physik , 73 (2022)155.

10.陈爱永,邓同杰,闫东风,五次非线性Schrodinger方程的非横截异宿链,中国科学(数学),48(12)(2018)1791-1802

承担课程

数学分析、常微分方程、数学建模