姓名：徐龙娟

职称：副研究员

学历：理学博士

研究方向：偏微分方程（材料科学与流体力学），带有奇异系数的偏微分方程的Green函数

邮箱：longjuanxu@cnu.edu.cn

办公室：校本部教二楼321室

教育经历

2020年10月—2022年9月：新加坡国立大学，Research Fellow

2019年9月—2020年9月：韩国延世(Yonsei)大学，Researcher

【1】Haigang Li, Longjuan Xu, Peihao Zhang. Stress blow-up analysis when a suspending rigid particle approaches the boundary in Stokes flow: 2D case. To appear in SIAM J. Math. Anal. (2023).

【2】Jongkeun Choi, Hongjie Dong, Longjuan Xu. Gradient estimates for Stokes and Navier-Stokes systems with piecewise DMO coefficients. SIAM J. Math. Anal. 54 (2022), no.3, 3609-3635.

【3】 Seick Kim, Longjuan Xu. Green's function for second order parabolic equations with singular lower order coefficients. Commun. Pure Appl. Anal. 21 (2022).

【4】Yu Chen, Xia Hao, Longjuan Xu. Upper and lower bounds for stress concentration in linear elasticity when inclusions are close to boundary. Quart. Appl. Math.  (2022), no.4, 607-639.

【5】Yu Chen, Haigang Li, Longjuan Xu. Optimal gradient estimates for the perfect conductivity problem with inclusions. Ann. Inst. H. Poincaré Anal. Non Linéaire. 38 (2021), 953-979.

【6】Hongjie Dong, Longjuan Xu. Gradient estimates for divergence form parabolic systems from composite materials. Calc. Var. Partial Differential Equations 60, 98 (2021).

【7】 Hongjie Dong, Longjuan Xu. Hessian estimates for non-divergence form elliptic equations arising from composite materials. Potential Anal. 54 (2021), no.3, 409-449.

【8】Hongjie Dong, Longjuan Xu. Gradient estimates for divergence form elliptic systems arising from composite material. SIAM J. Math. Anal. 51 (2019), no. 3, 2444-2478.

【9】Haigang Li, Fang Wang, Longjuan Xu. Characterization of electric fields between. two spherical perfect conductors with general radii in 3D. J. Differential Equations. 267 (2019), 6644-6690.

【10】Hongjie Ju, Haigang Li, Longjuan Xu. Estimates for elliptic systems in a narrow region arising from composite materials. Quart. Appl. Math. 77 (2019), 177-199.

【11】Haigang Li, Longjuan Xu. Optimal estimates for the perfect conductivity problem with inclusions close to the boundary. SIAM J. Math. Anal. 49 (2017), no. 4, 3125-3142.

北京师范大学优秀博士学位论文（2020年）

1. 第二届材料科学中的分析和计算国际会议-2021青年论坛，线上会议，2021年8月23日-25日

2. International Conference on PDEs Related to Material Science, co-organized by Beijing Normal University and Brown University, Online conference, May.6-May.9, 2021