个人简介
罗肖,304永利登录入口副教授,硕士生导师。2018年毕业于华中师范大学,获理学博士学位。主要研究领域为非线性偏微分方程和变分方法。先后在质量-超临界约束变分理论及泛函结构不定问题的新理论性框架和工具的建立方面取得系统性研究成果,在SIAM Journal on Mathematical Analysis,Calc. Var. Partial Differential Equations,J. Anal. Math.,J. Differential Equations,中国科学(英文版)等国内外期刊发表SCI论文三十余篇。主持完成国家自然科学基金青年科学基金项目一项,正在主持安徽省自然科学基金面上项目一项,2023年获安徽省青年数学奖。教学方面,2021年获304永利登录入口青年教师教学基本功比赛二等奖,主持校级课程规划设计研究项目一项。
科研项目
国家自然科学基金青年项目,两类非线性椭圆型方程解的存在性、稳定性与集中性,2020.01-2022.12,主持
安徽省自然科学基金面上项目, 旋转非线性泛函约束临界点的存在性及其性态, 2023.09-2026.08,主持
代表性科研成果
[1] Li, Menghui; Luo, Xiao; Wei, Juncheng; Zhen, Maoding Free and harmonic trapped spin-1Bose-Einstein condensates in R3,SIAM Journal on Mathematical Analysis(2024).
[2] Jia, Huifang; Luo, Xiao Prescribed mass standing waves for energy critical Hartree equations.Calc. Var. Partial Differential Equations62 (2023) Paper No. 71.
[3] Luo, Xiao; Yang, Tao Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient.Sci. China Math.66(2023) 1237-1262.
[4] Duan,Lipeng; Luo, Xiao, Zhen, Maoding New vector solutions for cubic nonlinearSchrödinger systems in R3.Journal d'Analyse Mathématique(2023).
[5] Luo, Xiao; Wei, Juncheng; Yang, Xiaolong; Zhen, Maoding Normalized solutions for Schrödinger system with quadratic and cubic interactions.J. Differential Equations314 (2022) 56-127.
[6] Cao, Daomin; Jia, Huifang;Luo, Xiao Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials.J. Differential Equations276 (2021), 228-263.
[7] Luo, Xiao; Yang, Tao Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation.J. Differential Equations304 (2021) 326-347.
[8] Luo, Xiao Normalized standing waves for the Hartree equations.J. Differential Equations267 (2019) 4493–4524.
[9] He, Yi; Luo, Xiao Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases.J. Differential Equations266 (2019) 600-629.
其他成果见:https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=1176401
社会兼职
美国数学会评论员(reviewer for Mathematical Reviews/MathSciNet)