个人简介
姓名：梁之磊 职称：教授 学历：理学博士 专业：偏微分方程
邮箱：zhilei0592@gmail.com,liangzl@swufe.edu.cn办公地址：通博楼B405
教育背景
2003.09-2009.06厦门大学 数学科学学院 博士
2001.09-2003.06聊城大学 数学科学学院 学士
1999.09-2001.06济宁学院 数学系
研究方向
非线性偏微分方程，流体力学中的数学问题
工作和研究经历
2013.12-至今 西南财经大学 经济555000jc赌船 教授
2011.12-2013.12 西南财经大学 经济555000jc赌船 副教授
2009.09-2011.12 西南财经大学 经济555000jc赌船 讲师
2013.11-2015.11 中科院数学与应用数学研究所 博士后
2017.08-2018.08 匹兹堡大学 数学系 访问学者
代表论文
1. Ming Chen,Zhilei Liang, Dehua Wang, A Kato-type criterion for vanishing viscosity near Onsager’s critical regularity,Archive for Rational Mechanics and Analysis, to appear, 2022. DOI : 10.1007/s00205-022-01822-z
2.Zhilei Liang, Dehua Wang, Stationary weak solutions for compressible Cahn-Hilliard/Navier-Stokesfluilds,J. Nonlinear Science,32(2022):41. DOI:10.1007/s00332-022-09799-5
3.Zhilei Liang, Regularity criterion on the energy conservation for the compressible Navier-Stokes equations, P. Roy. Soc. Edinb.- A,151 (2021): 1954-1971.
4. Ming Chen,Zhilei Liang, Dehua Wang, Runzhang Xu, Energy equality in compressible fluids with physical boundaries, SIAM J. Math. Anal., 52(2) (2020): 1363-1385.
5. Zhilei Liang, Dehua Wang, Stationary Cahn–Hilliard–Navier–Stokes equations for the diffuse interface model of compressible flows,Mathematical Models and Methods in Applied Sciences, 30(12) (2020): 2445–2486.
6.Zhilei Liang, Vanishing pressure limit for compressible Navier-Stokes equations with degenerate viscosities,Nonlinearity, 30 (2017): 4173-4190.
7. Jing Li,Zhilei Liang, Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier–Stokes system in unbounded domains with large data,Archive for Rational Mechanics and Analysis, 220 (2016): 1195–1208.
8.Zhilei Liang, Local strong solution and blow-up criterion for the 2D nonhomogeneous incompressible fluids,Journal of Differential Equations, 258 (2015): 2633–2654.
9. Jing Li,Zhilei Liang, On local classical solutions to the Cauchy problem of the two dimensional barotropic compressible Navier-Stokes equations with vacuum, Journal de Mathematiques Pures et Appliquees, 102 (2014): 640-671.
10.Zhilei Liang, Junning Zhao, Localization for the evolution p-Laplacian equation with strongly nonlinear source term, Journal of Differential Equations,246(1) (2009): 391-407.
所教课程
高等数学、常微分方程、数学物理方程
承担的科研项目
国家自科基金青年项目、国家自科数学天元基金
所获奖项
四川省学术带头人后备人选、西南财经大学首批“光华百人”计划、 西南财经大学2012-2013年度“唐立新优秀科研教师”奖
