个人简介
罗肖,英国威廉希尔公司副教授,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。在《Calc. Var. Partial Differential Equations》,《J. Differential Equations》,《J. Anal. Math.》,《中国科学(英文版)》,《Journal of Geometric Analysis》等国内外知名期刊发表SCI论文近三十篇。主持国家自然科学基金青年科学基金项目一项,中央高校基本科研业务费项目三项,曾参与完成国家自然科学基金面上项目三项。
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。
代表性科研成果
近五年代表性研究成果罗列如下:
[1] Jia, Huifang; Luo, Xiao Prescribed mass standing waves for energy critical Hartree equations. Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 71.
[2] Duan,Lipeng; Luo, Xiao, Zhen, Maoding New vector solutions for cubic nonlinear Schrödinger systems in R3. Journal d'Analyse Mathématique (2023), to appear.
[3] Luo, Xiao; Wei, Juncheng; Yang, Xiaolong; Zhen, Maoding Normalized solutions for Schrödinger system with quadratic and cubic interactions. J. Differential Equations 314 (2022), 56-127.
[4] Cao, Daomin; Jia, Huifang; Luo, Xiao Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials. J. Differential Equations 276 (2021), 228-263.
[5] Luo, Xiao; Yang, Tao Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. J. Differential Equations 304 (2021), 326-347.
[6] Luo, Xiao Normalized standing waves for the Hartree equations. J. Differential Equations 267 (2019), no. 7, 4493–4524.
[7] He, Yi; Luo, Xiao Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases. J. Differential Equations 266 (2019), no. 1, 600-629.
[8] Luo, Xiao; Yang, Tao Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient. Sci. China Math. (2022).
[9] He, Yi; Luo, Xiao; Rădulescu, Vicenţiu D. Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion. J. Geom. Anal. 32 (2022), no. 1, Paper No. 30, 36 pp.
[10] He, Yi; Luo, Xiao Concentrating standing waves for Davey-Stewartson systems. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 6, 1411–1450.
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)