李扬 照片

李扬

讲师

所属大学: 安徽大学

所属学院: 数学科学学院

邮箱:
lynjum@163.com

个人主页:
http://math.ahu.edu.cn/ly/list.htm

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

[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.