个人简介
教育背景
2001.09-2005.07, 武汉大学数学与统计学院,学士
2005.09-2010.07,中国科学院数学与系统科学研究院,博士
工作简历
2010.09-2011.09,法国巴黎十一大,博士后
2011.11-2019.07,中国科学院数学与系统科学研究院,助理研究员
2019.08-至今,北京航空航天大学数学科学学院,副教授
科研项目
2013.01-2015.12,国家自然科学基金青年科学基金项目《流体力学模型的复杂边界问题及其柯西问题的研究》, 项目批准号:11201455 ,项目主持人
2017.01-2020.12,国家自然科学基金面上项目《关于磁流体模型在强背景磁场中的适定性研究》,项目批准号:11671383,项目主持人
社会工作
2020级致真书院207718班班主任兼任导师
近期论文
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Li Xu, Zhifei Zhang, On the free boundary problem to two viscous immiscible fluids, Journal of Differential Equations, 248 (2010) , no. 5, pp.1044-1111.
Lingbing He, Li Xu, Global well-posedness for viscoelastic fluid system in bounded domains, SIAM Journal on Mathematical Analysis, 42(2010), no. 6, pp.2610-2625.
Li Xu,Intermediate long waves systems for internal waves, Nonliearity 25(2012), pp. 597-640.
Jean-Claude Saut, Li Xu, The Cauchy problem on large time for surface waves Boussinesq systems, Journal de Mathematiques Pures et Appliquees, No. 6,97(2012), pp.635-662.
Jean-Claude Saut, Li Xu, Well-posedness on large time for a modified full dispersive system of surface waves, Journal of Mathematical Physics, 53, 115606 (2012).
Li Xu, Ping Zhang, Zhifei Zhang, Global solvability to a free boundary 3-D incompressible viscoelastic fluid system with surface tension, Archive for Rational Mechanics and Analysis, Volume 208, Issue 3, (2013), pp.753-803.
Fanghua Lin, Li Xu and Ping Zhang, Global small solutions to 2-D incompressible MHD system, Journal of Differential Equations, 259(2015), no.10, pp. 5440-5485.
Li Xu and Ping Zhang, Global small solutions to three-dimensional incompressible MHD system, SIAM Journal on Mathematical Analysis, 47 (2015), no. 1, pp. 26-65.
Liyan Ma, Li Xu and Tieyong Zeng, Low rank prior and total variation regularization for image deblurring, Journal of Scientific Computing, 70(2017), no. 3. 1336–1357.
Jean-claude Saut, Chao Wang, Li Xu, The cauchy problem on large time for surface waves Boussinesq systems II, SIAM Journal on Mathematical Analysis, 49(2017), no. 4, pp. 2321-2386.
Lingbing He, Li Xu, Pin Yu, On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfven wave, Annals of PDE, 4 (2018), no.1, Art 5, 105pp.
Li Xu, On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics, Archive for Rational Mechanics and Analysis, 236(2020),No.1,1-70.
Jean-Claude Saut, Li Xu, Long time existence for the Boussinseq-Full Dispersion systems, Journal of Differential Equations, 269(2020), no. 3, 2627-2663.
Jean-Claude Saut, Li Xu, Long time existence for a strongly dispersive Boussinesq system, SIAM Journal on Mathematical Analysis, 52(2020), no. 3, 2803-2848.
Lingbing He, Li Xu, On the compressible Navier-Stokes equations in the whole space: from non-isentropic flow to isentropic flow, Discrete and Continuous Dynamical Systems, 2021.