人物經歷
2005年在吉林大學獲得博士學位,2012年被聘為博士生指導教師。曾在法國、美國、加拿大、波蘭和中國香港等地區進行學術訪問十餘次。
研究方向
主要從事來自
流體動力學的偏微分方程的適定性研究,主要包括解的存在性,正則性,唯一性和漸進性。
研究成果
主持並完成
中國博士後科學基金,
國家自然科學基金—青年科學基金,以及國家、北京市自然科學基金—面上項目各1項。現正在主持國家自然科學基金—面上項目1項。與袁洪君教授合作編寫本科生教材《數學物理方程》(教育部“十一五”國家級規劃教材)一部,完成學術論文50餘篇,已發表的論文45篇,其中被SCI檢索的論文有40篇,有12篇論文發表在J. Math. Pures Appl., SIAM J. Math. Anal. ,Nonlinearity,J. Nonlinear Science以及J. Differential Equations雜誌上。
科研項目
[1] China Postdoctor Sciences Fund, Harmonical analysis and com- pressible Non-Newtonian fluid with vacuum. 2005.12-- 2007. 07.
[2] NSF of China (Young), Theoretical and numerical analysis on compressible Non-Newtonian fluid. 2007.01--2009.12.
[3] Program for Changjiang Scholars and innovative Research Team in University, Harmonic analysis and Geometry on manifolds. 2010.1—2012.12. (attended)
[4] NSF of Beijing, Theory analysis of the non-Newtonian fluids from chymistry industry. 2011.1--2013.12.
[5] NSF of China, Mathematical Problems of compressible fluids mechanics with the anomalous diffusion. 2014.1--2017.12.
[6] NSF of China, Well-posedness of incompressible fluids mechanics with the anomalous diffusion. 2018.1--2021.12.
代表性論著
[1] The 2D Boussinesq equations with fractional horizotal dissipation and thermal diffusion, J. Math. Pures Appl., 2017, accepted.(with Wu Jiahong and Ye Zhuan)
[2] Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation, J. Differential Equations, 260(2016), 6716-6744.( with Ye Zhuan)
[3] Global regularity results for the 2D Boussinesq equations with partial dissipation. J. Differential Equations 260 (2016), 1893–1917.(with Adhikari Dhanapati; Cao Chongsheng; Shang Haifeng; Wu Jiahong and Ye Zhuan)
[4] Global smooth solutions to thenn-dimensional damped models of incompressible fluid mechanics with small initial datum. J. Nonlinear Sci. 25 (2015), 157–192.(with Wu Jiahong and Ye Zhuan)
[5] The 2D magnetohydrodynamic equations with magnetic diffusion. Nonlinearity 28 (2015), 3935–3955.(with Jiu Quansen; Niu Dongjuan; Wu Jiahong and Yu Huan)等
所獲榮譽
曾獲北京師範大學勵耘優秀青年教師一等獎,2007年博士論文被評為“吉林省優秀博士學位論文”。