070104-应用数学

非线性偏微分方程

2012-09--2015-07   复旦大学   理学博士
2009-09--2012-04   南京航空航天大学   理学硕士
2005-09--2009-07   阜阳师范大学   理学学士

   

2019-01~现在, 中国科学院武汉物理与数学研究所, 副研究员
2017-07~2019-01,中国科学院武汉物理与数学研究所, 助理研究员
2015-07~2017-07,中国科学院数学与系统科学研究院, 博士后

[1] Kuang Jie, Xiang Wei, Zhang Yongqian. Convergence rate of hypersonic similarity for steady potential flows over two-dimensional Lipschitz wedge. Calculus of Variations and Partial Differential Equations[J]. 2023, 62(3): 1-49, [2] Hu, Kai, Kuang, Jie. Global well-posedness of shock front solutions to one-dimensional piston problem for combustion Euler flows. SIAM Journal on Mathematical Analysis[J]. 2023, 55(3): 2042-2110, https://doi.org/10.1137/22M1493586.
[3] Huang, Feimin, Kuang, Jie, Wang, Dehua, Xiang, Wei. Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle. ANNALS OF PDE[J]. 2021, 7(2): 1-96pp, [4] Chen, GuiQiang G, Kuang, Jie, Zhang, Yongqian. STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES. SIAM JOURNAL ON MATHEMATICAL ANALYSIS[J]. 2021, 53(3): 2811-2862, [5] Kuang, Jie, Zhao, Qin. Global Existence and Stability of Shock Front Solution to 1-D Piston Problem for Exothermically Reacting Euler Equations. JOURNAL OF MATHEMATICAL FLUID MECHANICS[J]. 2020, 22(2): https://www.webofscience.com/wos/woscc/full-record/WOS:000529291700003.
[6] Kuang, Jie, Xiang, Wei, Zhang, Yongqian. Hypersonic similarity for the two dimensional steady potential flow with large data. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE[J]. 2020, 37(6): 1379-1423, http://dx.doi.org/10.1016/j.anihpc.2020.05.002.
[7] Huang, Feimin, Kuang, Jie, Wang, Dehua, Xiang, Wei. Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2019, 266(7): 4337-4376, http://ir.amss.ac.cn/handle/2S8OKBNM/32287.
[8] Kuang, Jie, Zhang, Chi, Zhang, Yongqian. Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2017, 452(2): 1298-1309, http://dx.doi.org/10.1016/j.jmaa.2017.03.066.
[9] Chen, GuiQiang G, Kuang, Jie, Zhang, Yongqian. TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS[J]. 2017, 49(2): 818-873, http://dx.doi.org/10.1137/16M1075089.
[10] Ding Min, Kuang Jie, Zhang Yongqian. Global Stability of Rarefaction Wave to the 1-D Piston Problem for Compressible Full Euler Equation. Journal Mathematical Analysis and Applications[J]. 2017, [11] Feng, Zhenguo, Kuang, Jie. Boundary value problem for a nonlinear equation of mixed type. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2013, 255(10): 3029-3052, http://dx.doi.org/10.1016/j.jde.2013.07.018.

   

（ 1 ） 定常欧拉方程有旋解与接触间断解的研究, 参与, 国家任务, 2020-01--2023-12
（ 2 ） 高维超音速流的初边值问题, 负责人, 国家任务, 2019-01--2021-12
（ 3 ） 可压缩欧拉方程初边值问题间断解的研究, 负责人, 国家任务, 2023-01--2026-12

（1）On Steady Supersonic Flow Past a Curved Cone: Isothermal case   2018-09-11
（2）TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS   2018-08-18

已指导学生

黄帅  硕士研究生  070101-基础数学  

现指导学生

季卫华  硕士研究生  070101-基础数学