个人信息
姓名:顾旭旻
职称:教授、博士生导师
研究领域:偏微分方程
联系地址:
上海市杨浦区国定路777号红瓦楼923室(邮编:200433)
ADD: Room 923, Red Tile Building, School of Mathematics,
Shanghai University of Finance and Economics,
777 GuoDing Road, Shanghai 200433, P. R. China
TEL: +86-21-6590-2557
EMAIL: gu.xumin@mail.shufe.edu.cn
主要教育和工作经历
2011.9 - 2014.6 复旦大学,数学科学学院,博士
2014.9 - 2015.8 香港中文大学,数学研究所,博士后
2015.8 - 至今上海财经大学,数学学院
科研项目
主持
l国家自然科学基金,青年项目,磁流体力学方程的自由边值问题,2017.01-2019.12,已结题
参与
l国家自然科学基金,重点项目,高雷诺数及宏观微观流体力学方程的数学理论,2021.01-2025.12,在研
主要论文
1.Xumin Gu, Chenyun Luo, Junyan Zhang, Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2024.
2.Xumin Gu, Tianyi Wang, On subsonic and subsonic-sonic flows with general conservatives force in exterior domains, Acta Mathematicae Applicatae Sinica-English Series, 2023.
3.Xumin Gu, Chenyun Luo, Junyan Zhang, Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics , NONLINEARITY, 2022
4.Xumin Gu, Yu Mei, Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension, Science China-Mathematics, 2022.
5.Xumin Gu, Zhen Lei, Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit , ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022.
6.Xumin Gu, Fan Wang, Well-posedness of the free boundary problem in incompressible elastodynamics under the mixed type stability condition, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020.
7.Xumin Gu,Yanjin Wang,On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations,JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2019.
8.Xumin Gu,Well-posedness of axially symmetric incompressible ideal magnetohydrodynamic equations with vacuum under the non-collinearity condition,COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2019.
9.Xumin Gu, Tian-yi Wang, On subsonic and subsonic-sonic flows in the infinity long Nozzle with general conservatives force, ACTA MATHEMATICA SCIENTIA, 2017.
10.Xumin Gu, Zhen Lei, Local well-posedness of the three dimensional compressible Euler–Poisson equations with physical vacuum, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2016.
11.Xumin Gu, Regularity criteria for suitable weak solutions to the four dimensional incompressible magneto-hydrodynamic equations near boundary, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015
12.Hongjie Dong, Xumin Gu, Boundary partial regularity for the high dimensional Navier–Stokes equations, JOURNAL OF FUNCTIONAL ANALYSIS,2014
13.Hongjie Dong, Xumin Gu, Partial Regularity of solutions to the Four-Dimensional Navier–Stokes Equations, Dynamics of PDE,2013.
14.Xumin Gu, Zhen Lei, Well-posedness of 1-D compressible Euler–Poisson equations with physical vacuum, JOURNAL OF DIFFERENTIAL EQUATIONS,2012.
15.Xumin Gu, Global Wellposedness for a transport equation with super-critical dissipation, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011