个人简介
甄茂鼎,男,博士,硕士生导师,2020年6月毕业于华中科技大学,2020年9月至今在金沙集团1862cc成色工作,2019/5-2019/12英属哥伦比亚大学(University of British Colunbia),数学系,访问学者,合作导师:魏军城教授(Juncheng Wei),在SIAM Journal on Mathematical Analysis ,Journal d'Analyse Mathématique,Journal of Differential Equations,The Journal of Geometry Analysis, Discrete and Continnuous Dynamical Systems,等杂志发表学术论文10余篇。
科研项目
(1)国家自然科学基金青年基金,12201167,四阶薛定谔方程解的存在唯一性研究,2023/01/01-2025/12/31,30万,在研,主持。
(2)合肥工业大学学术新人B计划,JZ2023HGTB0218,几类旋转BEC方程组解的存在性和渐近性态分析,2023/04/01-2024/12/31,20万,在研,主持。
(3)合肥工业大学学术新人A计划,JZ2021HGTA0177,薛定谔系统规范解的存在性与渐近性态研究,2021/04/01-2022/12/31,5万,已结题,主持。
(4)青年教师科研创新启动专项A项目,JZ2022HGQA0155,薛定谔系统解的存在性研究,2022/05/01-2024/04/30,3万,在研,主持。
研究成果
在SIAM Journal on Mathematical Analysis,Journal d'Analyse Mathématique,Journal of Differential Equations,The Journal of Geometry Analysis, Discrete and Continnuous Dynamical Systems,等杂志发表学术论文10余篇,主要相关成果如下:
(1)Menghui Li,Xiao Luo, Juncheng WeiandMaoding Zhen*,Free and harmonic trapped spin-1 Bose-Einstein condensate in R^3,SIAM Journal on Mathematical Analysis (2024),to appear.
(2)Duan Lipeng, Xiao Luo andMaoding Zhen*, New vector solutions for the cubic nonlinear Schrodinger system,Journal d'Analyse Mathématique (2024), to appear.
(3)Xiao Luo, Juncheng Wei, Xiaolong Yang andMaoding Zhen*,Normalized solutions for Schrödinger system with quadratic and cubic interactions,Journal of Differential Equations,314(2022)52-127.
(4)Maoding Zhen, Normalized Solutions for Schrödinger System with
Subcritical Sobolev Exponent and Combined Nonlinearities,The Journal of Geometric Analysis,(2022)32:86
(5)Maoding Zhen; Jinchun He; Haoyuan Xu*; Meihua Yang ; Positive ground state solutions for f ractional Laplacian system with one critical exponent and one subcritical exponent, Discrete and Continuous Dynamical System, 2019, 39(11): 6523-6539.
荣获荣誉
博士生国家奖学金