个人简介
教育经历:
2010.09-2014.06 铜陵学院 数学与计算机科学系 学士学位
2014.09-2019.12 南京大学 数学系 博士学位 导师:孙永忠教授
其中2018.11-2019.11在捷克科学院数学研究所联合培养,合作导师:Eduard Feireisl教授
工作经历:2019.12-至今 安徽大学 数学科学学院
教学情况
本科生课程:高等数学,偏微分方程
研究领域
流体力学中的非线性偏微分方程,主要包括可压缩Navier-Stokes方程,可压缩磁流体力学方程组,可压缩两相流模型的适定性及其应用。
近期论文
查看导师最新文章
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[1] Li,Y.: Global well-posedness to the one-dimensional model for planar non-resistive magnetohydrodynamics with large data and vacuum.
J.Math.Anal.Appl. 462 (2018), 1342-1356
[2]Li,Y.: Global strong solutions to the one-dimensional heat-conductive model for planar non-resistive magnetohydrodynamics with large data.
Z.Angew.Math.Phys. 69 (2018), 21 pp
[3]Li,Y., Jiang,L.: Global weak solutions for the Cauchy problem to one-dimensional heat-conductive MHD equations of viscous non-resistive gas.
Acta.Appl.Math.163 (2019), 185-206
[4] Li,Y., Sun,Y.: Global weak solutions and long time behavior for 1D compressible MHD
equations without resistivity.J.Math.Phys.60 (2019), 071511, 22 pp
[5] Li,Y., Sun,Y.: Global weak solutions to a two-dimensional compressible MHD equations
of viscous non-resistive fluids.J.Differential.Equations.267 (2019), 3827-3851
[6] Li,Y.: Global weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic field.
Z.Angew.Math.Phys.70 (2019), 10 pp
[7] Feireisl,E., Li,Y.: On global-in-time weak solutions to the magnetohydrodynamic
system of compressible inviscid fluids.
Nonlinearity. 33 (2020), 139-155
[8] Li,Y., Sun,Y., Zatorska, E.: Large time behavior for a compressible two-fluid model with
algebraic pressure closure and large initial data.
Nonlinearity. 33 (2020), 4075-4094
[9]Li,Y.: Singular limit for rotating compressible fluids with centrifugal force in a finite cylinder.
Submitted.