陳正爭,男,武漢大學博士,安徽大學副教授,碩士生導師,主要從事流體力學中的幾類非線性偏微分方程定解問題的適定性及其解的漸近行為研究。
基本介紹
- 中文名:陳正爭
- 國籍:中國
- 畢業院校:武漢大學
- 學位/學歷:博士
- 職務:安徽大學碩士生導師
- 職稱:副教授
研究方向,教授課程,主持項目,發表論文,
研究方向
1. 流體力學中的偏微分方程理論;
2. 雙曲型守恆律方程。
教授課程
為本科生開設課程: 偏微分方程,泛函分析, 線性代數,機率論與數理統計。
為研究生開設課程: 廣義函式與Sobolev空間,雙曲型守恆律方程,現代偏微分方程理論,非線性發展方程。
主持項目
目前主持國家自然科學基金青年科學基金、國家自然科學基金數學天元基金、安徽大學博士科研啟動基金和安徽大學青年骨幹教師培養對象項目各一項。
發表論文
[13]Zhengzheng Chen,Mengdi Sheng, Global stability of a combination of a viscous contact with rarefaction waves for the compressible fluid models of Korteweg,Nonlinearity,(2019), 32,395-444. (SCI)
[12]Zhengzheng Chen,Lin He, Huijiang Zhao, Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data,Zeitschriftfür angewandte Mathematik and Physik,(2017), 68: 79. (SCI)
[11]Zhengzheng Chen,Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data,Nonlinear Analysis, (2016),144, 139-156. (SCI)
[10]Zhengzheng Chen, Xiaojuan Chai, Wenjuan Wang, Convergence rate of solutions to strong conatct discontinuity for the one-dimensional compressible radiation hydrodynamics model,Acta Mathematica Scientia,(2016), 36B(1), 265-282. (SCI)
[9]Zhengzheng Chen, Xiaojuan Chai, Boqing Dong, Huijiang Zhao, Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data,Journal of Differential Equations, (2015), 259, 4376-4411.(SCI)
[8]Zhengzheng Chen, Huijiang Zhao, Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system,Journal de Mathematiques Pures et Appliquees, (2014), 101(3), 330-371.(SCI)
[7]Zhengzheng Chen, Lin He, Huijiang Zhao, Nonlinear stability of travelling wave solutions to the one-dimensional compressible fluid models of Korteweg type ,Journal of Mathematical Analysis and Applications,(2015), 422(2),1213-1234.(SCI)
[6]Zhengzheng Chen, Linjie Xiong, Yijie Meng,Convergence to the superposition of rarefaction waves and conatct discontinuityfor the 1-D compressible Navier-Stokes-Korteweg system,Journal of Mathematical Analysis and Applications,(2014),412(2),646-663.(SCI)
[5]Zhengzheng Chen,Asymptotic stability of strong rarefaction wavesfor thecompressible fluid models of Korteweg type,Journal of Mathematical Analysis and Applications,(2012), 394(1),438-448.(SCI)
[4]Zhengzheng Chen,Qinghua Xiao, Nonlinearstability ofviscous conatctwavefor the 1-D compressible Navier-Stokes-Korteweg system,Mathematical Methods in the Applied Sciences,(2013),36(17),2265-2279.(SCI)
[3]Zhengzheng Chen,Qinghua Xiao, Nonlinearstability ofplanar shock profiles for the generalizedKdv-Burgers equation in several dimensions system,Acta Mathematica Scientia, (2013),36(6),1531-1550.(SCI)
[2] Qinghua Xiao,Zhengzheng Chen, Degenerate boundary layer solutions to the generalizedBBM-Burgers equation,Acta Mathematica Scientia, (2012),32(5),1743-1758.(SCI)
[1]Zhengzheng Chen,Weian Liu, Existence of some ellipticsystems involving the Pucci operator,Acta Mathematics Sinica, (2012),55(1),77-90.(CSCD)