副教授

罗肖

  • 职称 :副教授
  • 电话:翡翠科教楼B座1807东
  • 邮箱 :luoxiaohf@163.com
  • 职务 :科研秘书
  • 所属系 :信息与计算科学系
  • 主讲课程 :高等数学,线性代数
  • 研究领域 :非线性泛函分析与偏微分方程。

  个人简介

罗肖,8827太阳集团官网副教授,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, 44934524.

[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, 14111450.

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