入职时间:2020-09-13
所在单位:应用数学系
学历:博士研究生毕业
办公地点:翡翠科教B1606
在职信息:在职
教育经历:
2020年6月毕业于华中科技大学
工作经历:
2020年9月至今合肥工业大学数学学院,教师
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)
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) Duan Lipeng, Xiao Luo and Maoding Zhen*, New vector solutions for the cubic nonlinear Schrodinger system, Journal d'Analyse Mathématique (2023), to appear.
(2)Xiao Luo, Juncheng Wei, Xiaolong Yang and Maoding Zhen*, Normalized solutions for Schrödinger system with quadratic and cubic interactions, Journal of Differential Equations,314(2022)52-127.
(3) Maoding Zhen, Normalized Solutions for Schrödinger System with Subcritical Sobolev Exponent and Combined Nonlinearities,The Journal of Geometric Analysis,(2022)32:86
(4) 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.
(5) Maoding Zhen; Binlin Zhang*; Vicentiu D. Radulescu ; Normalized solutions for nonlinear co upled fractional system: low and high perturbations in the attractive case, Discrete and Continuo us Dynamical System, 2021, 41(6): 2653-2676.
(6) Xiao Luo;Vicentiu D. Radulescu*; Maoding Zhen; Standing waves with prescribed norm for the coupled Hartree-Fock-system,Discrete and Continuous Dynamical System, 2023,43(8),3131-3167.
预印本论文:
(1) Menghui Li, Xiao Luo, Juncheng Wei and Maoding Zhen*, Free and harmonic trapped spin-1 Bose-Einstein condensate in R^3, appear.