基本信息
职称 教授
职务 博士生导师
主讲课程 本科生课程:数学物理方程;研究生课程:偏微分方程,流体力学中的稳定性理论,函数空间论
研究方向 流体动力学中各类偏微分方程组的适定性问题及解的性态
办公室 数计4号楼302室
电子邮件
联系电话
个人简介
江飞,男,1982年11月生,教授,博士生导师。2005年9月至2010年7月硕博连读于厦门大学数学科学学院(导师为谭忠教授),主要学习与研究流体动力学中各类偏微分方程组的适定性问题及解的性态,已在《Adv. Math.》,《J. Math. Pures Appl.》,《Arch. Rational Mech. Anal.》,《Comm. Partial Differential Equations》,《Calc. Var. Partial Differential Equations》,《SIAM J. Math. Anal.》,《SIAM J. App. Math.》,《J. Funct. Anal.》,《J Differ. Equations》等SCI学术杂志上发表数学论文40多篇。目前主要兴趣:从数学分析角度学习与研究流体力学中各类不稳定性的物理现象。
主持的科研项目
2021–2023国家自然科学基金优秀青年科学基金项目(**):流体力学中的偏微分方程;
2020–2023福建省自然科学基金重点项目(2020J02013):流体力学中的若干数学问题的理论研究;
2017–2019福州大学“旗山****”奖励支持计划:磁流体中磁场抑制不稳定性的数学理论以及应用;
2017–2020国家自然科学基金面上项目(**):流动的稳定性与不稳定性的数学理论;
2016–2019福建省自然科学基金****项目(2016J06001):流体力学中瑞利–泰勒问题的稳定性及衰减估计问题;
2015–2017福建省高校****科研人才培育计划(SX2015-02):流体力学中瑞利–泰勒问题的稳定性及衰减估计问题;
2014–2016国家自然科学基金青年项目(**):变密度黏性流体动力学中非线性瑞利–泰勒不稳定性的数学理论研究;
2014–2016福建省自然科学基金面上项目(2014J01011):黏性磁流体中非线性瑞利–泰勒不稳定性理论研究。
学术荣誉
2020年获第九届福州大学“****教师励志奖”;
2018.09.04获第四届中国工业与应用数学学会“ 应用数学青年科技奖” 。
2012年获福建省优秀博士学位论文奖一等奖。
工作经历
2017.08–至今:福州大学数学与计算机科学学院信息与计算科学系,博士生导师;
2017.07–至今:福大数计学院信息与计算科学系,教授;
2013.07–2017.06:福大数计学院信息与计算科学系,副教授;
2013.01–2013.06:福州大学数计学院信息与计算科学系,讲师;
2012.09–2013.01:福州大学数计学院信息与计算科学系,助教;
2010.08–2012.08:北京应用物理与计算数学研究所(北京九所),博士后(合作导师江松院士)。
主要学术活动
2018.03:访问香港中文大学数学研究所
2017.07–2017.08:访问复旦大学数学科学学院;
2014–2016:多次在北京九所客座研究;
2014.01–2014.02,2016.01-2016.02:香港城市大学数学系,Research Fellow。
发表及预印论文(SCI,*通讯作者)
38. Fei Jiang*, Song Jiang, Strong solutions of the equations for viscoelastic fluids in some classes of large data, Journal of Differential Equations, 282, 148–183, 2021/05.
37. Fei Jiang*, Song Jiang, Weichen Zhang, Instability of the abstract Rayleigh-Taylor problem and applications, Mathematical Models and Methods in Applied Sciences, 30(12), 2299–2388, 2020/10.
36. Fei Jiang, Song Jiang*, On the inhibition of thermal convection by a magnetic field under zero resistivity, Journal de Mathématiques Pures et Appliquées, 141, 220–265, 2020/09.
35. Fei Jiang, Mengmeng Liu, Nonlinear stability of the viscoelastic Bénard problem, Nonlinearity, 33(4), 1677–1704, 2020/01.
34. Fei Jiang*, Song Jiang, On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids, Archive for Rational Mechanics and Analysis, 233(2), 749–798,
33. Fei Jiang*, Song Jiang, On the dynamical stability and instability of Parker problem, Physica D: Nonlinear Phenomena, 391, 17–51,
32. Fei Jiang*, Song Jiang, Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids, Calculus of Variations and Partial Differential Equations, 58(1), Art. 29, 61 pp.
31. Fei Jiang, Nonlinear thermal instability of compressible viscous flows without heat conductivity, Journal of Mathematical Fluid Mechanics, 20(4), 1509–1539,
30. Fei Jiang*, Song Jiang, On the stabilizing effect of the magnetic fields in the magnetic Rayleigh-Taylor problem, SIAM Journal on Mathematical Analysis, 50(1), 491–540,
29. Gengjie Huang, Fei Jiang, Weiwei Wang*, On the nonlinear Rayleigh-Taylor instability of nonhomogeneous incompressible viscoelastic fluids under L2-norm, Journal of Mathematical Analysis and Applications, 455(2), 873–904,
28. Fei Jiang*, Song Jiang, Guochun Wu, On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids, Journal of Functional Analysis, 272(9), 3763–3824,
27. Fei Jiang, Song Jiang, Weiwei Wang, Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows, Discrete and Continuous Dynamical System-S, 9(6), 1853–1898,
26. Fei Jiang, On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh-Taylor instability, Journal of Mathematical Physics, 57(11), 111503, 13 pp.
25. Fei Jiang, An improved result on Rayleigh-Taylor instability of nonhomogeneous incompressible viscous flows, Communications in Mathematical Sciences, 14(5),1269–1281,
24. Fei Jiang*, Guochun Wu, Xin Zhong, On exponential stability of gravity driven viscoelastic flows, Journal of Differential Equations, 260(10), 7498–7534,
23. Jishan Fan, Fei Jiang*, Large-time behavior of liquid crystal flow with a trigonometric condition in two dimensions, Communications on Pure and Applied Analysis, 15(1), 73–90,
22. Fei Jiang*, Song Jiang, On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics, Journal of Mathematical Fluid Mechanics, 17(4),639–668,
21. Ran Duan, Fei Jiang, Junpin Yin, Rayleigh-Taylor instability for compressible rotating flows, Acta Mathematica Scientia-English Series, 35(6),1359–1385,
20. Changsheng Dou*, Fei Jiang, Song Jiang, Yongfu Yang, Existence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces, Journal de Mathématiques Pures et Appliquées, 103(5), 1163–1197,
19. Fei Jiang*, Song Jiang, Weiwei Wang, On the Rayleigh-Taylor instability for two uniform viscous incompressible flows, Chinese Annals of Mathematics, Series B, 35(6), 907–940,
18. Fei Jiang, Song Jiang, Dehua Wang, Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions, Archive for Rational Mechanics and Analysis, 214(2), 403–451,
17. Fei Jiang*, Song Jiang, On instability and stability of three-dimensional gravity driven viscous flows in a bounded domain, Advances in Mathematics, 264, 831–863,
16. Fei Jiang*, Song Jiang, Yanjin Wang, On the Rayleigh-Taylor instability for the incompressible viscous magnetohydrodynamic equations, Communications in Partial Differential Equations, 39(3), 399–438,
15. Fei Jiang*, Song Jiang, Junpin Yin, Global weak solutions to the two-dimensional Navier-Stokes equations of compressible heat-conducting flows with symmetric data and forces, Discrete and Continuous Dynamical System-A, 34(2), 567–587,
14. Fei Jiang*, Song Jiang, Dehua Wang, On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain, Journal of Functional Analysis, 265(12), 3369–3397,
13. Fei Jiang*, Song Jiang, Guoxi Ni, Nonlinear instability for nonhomogeneous incompressible viscous fluids, Science China Mathematics, 56(4),665–686,
12. Mohamed Ahmed Abdallah, Fei Jiang*, Zhong Tan, Decay estimates for isentropic compressible magnetohydrodynamic equations in bounded domain, Acta Mathematica Scientia-English Series, 32(6),2211–2220,
11. Weiwei Wang, Fei Jiang*, Zhensheng Gao, Sequential stability of weak solutions in compressible self-gravitating fluids and stationary problem, Mathematical Methods in the Applied Sciences, 35(9),1014–1032,
10. Fei Jiang*, Zhong Tan, Blow-up of viscous compressible reactive self-gravitating gas, Acta Mathematicae Applicatae Sinica-English Series., 28(2), 401–408,
09. Rongcong Guo, Fei Jiang*, Junping Yin, A note on complete bounded trajectories and attractors for compressible self-gravitating fluids, Nonlinear Analysis-Theory Methods & Applications, 75(4),1933–1944,
08. Ran Duan, Fei Jiang*, Song Jiang, On the Rayleigh-Taylor instability for incompressible, inviscid magnetohydrodynamic flows, SIAM Journal on Applied Mathematics, 71(6),1990–2013,
07. Fei Jiang*, Zhong Tan, Huaqiao Wang, A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force, Journal of Mathematical Analysis and Applications, 379(1),316–324,
06. Fei Jiang, A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations, Nonlinear Analysis: Real World Applications, 12(3), 1733–1735,
05. Fei Jiang*, Zhong Tan, On radially symmetric solutions of the compressible isentropic self-gravitating fluid, Nonlinear Analysis-Theory Methods & Applications, 72(7–8), 3463–3483,
04. Fei Jiang*, Zhong Tan, On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow, Mathematical Methods in the Applied Sciences, 32(18), 2350–2367,
03. Fei Jiang*, Zhong Tan, Global weak solution to the flow of liquid crystals system, Mathematical Methods in the Applied Sciences, 32(17), 2243–2266,
02. Fei Jiang*, Zhong Tan, Qiaolian Yan, Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid, Nonlinear Differential Equations and Applications, 16(3),355–380,
01. Fei Jiang*, Zhong Tan, Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid, Journal of Mathematical Analysis and Applications, 351(1),408–427,
其它作品
02. 江松,江飞,周春晖,高维定常可压缩Navier-Stokes方程的适定性理论,现代数学丛书4,上海科学技术出版社,2019。
01. 江飞,江松,磁流体力学Rayleigh-Taylor与Parker不稳定性,中国科学:数学,47(10),1155–1182,2017/10(献给李大潜院士华诞专辑)。
培养博士生
王稼良(2020级)、刘蒙蒙(19级)、赵友义(18级)。