Xinghong Pan Associate Research Fellow，Supervisor of Master's Degree Programs College of Mathematics， Nanjing University of Aeronautics and Astronautics (NUAA)

Office：Science Building 354

Email: xinghong_87@nuaa.edu.cn

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[My CV][中文主页]

About Me

I am now an Associate Research Fellow at College of Mathematics, NUAA.
I received my Ph.D. in March 2017 at the Department of Mathematics in Nanjing University, and my advisor is Prof. Huicheng Yin. During 2013.01-2013.03, I was a visiting student at the University of California, Riverside. From December 2014 to December 2016, I was a joint PHD student at University of California, Riverside. In April 2017, I joined the NUAA as a Lecturer.

Education

• 2010.09-2017.03，Nanjing University，PHD， Advisor: Huicheng Yin;

• 2006.09-2010.06，Nanjing University，Bachelor.

Work Experiences

• 2022.01 - Now，NUAA, College of Mathematics, Associate Research Fellow；

• 2017.04 - 2021.12，NUAA，College of Science，Lecturer；

• 2014.12 - 2016.12，University of California, Riverside，Department of Mathematics，Joint PHD；

• 2013.01 - 2013.03，University of California, Riverside，Department of Mathematics，Visiting Scholar.

Research Interests

• Nonlinear elliptic and parabolic PDEs, Navier-Stokes equations and related equations;

• Euler Equations with damping.

Funding

• Study on the properties of solutions to the axially symmetric Navier-Stokes equations，NSFC Youth Program，2019.01-2021.12，Host；
  

• Study on the decay and vanishing of D solutions to the axially symmetric Navier-Stokes equations，NSF of Jiangsu Province Youth Program， 2018.07-2021.06，Host；
  

• Mathematical theory in dynamic equations of high Reynolds Numbers, macroscopic and microscopic fluid，NSFC Major Project，2021.01-2025.12，Participation.
  

Honors

• Double Innovation Programs of Jiangsu Province，Doctor of Double Innovation，The Organization Department of the Central Committee of Jiangsu Province， 2019.01-2020.12；
  

Publications (Parts Only)

• Li, Zijin; Pan, Xinghong; One component regularity criteria for the axially symmetric MHD-Boussinesq system. Discrete Contin. Dyn. Syst. 42 (2022), no. 5, 2333–2353. [PDF]

• Li, Zijin; Pan, Xinghong; A single-component BKM-type regularity criterion for the inviscid axially symmetric Hall-MHD system. J. Math. Fluid Mech. 24 (2022), no. 1, Paper No. 16, 19 pp. [PDF]

• Dong, Hongjie; Pan, Xinghong; On conormal derivative problem for parabolic equations with Dini mean oscillation coefficients. Discrete Contin. Dyn. Syst. 41 (2021), no. 10, 4567–4592. [PDF]

• Pan, Xinghong; Liouville theorem of D-solutions to the stationary magnetohydrodynamics system in a slab. J. Math. Phys. 62 (2021), no. 7, Paper No. 071503, 14 pp. [PDF]

• Pan, Xinghong; Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum. J. Differential Equations 278 (2021), 146–188. [PDF]

• Pan, Xinghong; Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping. Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 5, 43 pp. [PDF]

• Carrillo, Bryan;Pan, Xinghong; Zhang, Qi S.; Zhao, Na; Decay and vanishing of some D-solutions of the Navier-Stokes equations. Arch. Ration. Mech. Anal. 237 (2020), no. 3, 1383–1419. [PDF]

• Carrillo, Bryan; Pan, Xinghong; Zhang, Qi S.; Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations. J. Funct. Anal. 279 (2020), no. 1, 108504, 49 pp. [PDF]

• Li, Zijin; Pan, Xinghong; On the vanishing of some D-solutions to the stationary magnetohydrodynamics system. J. Math. Fluid Mech. 21 (2019), no. 4, Paper No. 52, 13 pp. [PDF]

• Pan, Xinghong; Xu, Jiang; Global existence and optimal decay estimates of the compressible viscoelastic flows in $L^p$ critical spaces. Discrete Contin. Dyn. Syst. 39 (2019), no. 4, 2021–2057. [PDF]

• Li, Zijin; Pan, Xinghong; Some remarks on regularity criteria of axially symmetric Navier-Stokes equations. Commun. Pure Appl. Anal. 18 (2019), no. 3, 1333–1350. [PDF]

• Pan, Xinghong; Zhu, Lu; The combined quasineutral and low Mach number limit of the Navier-Stokes-Poisson system. Z. Angew. Math. Phys. 70 (2019), no. 1, Paper No. 29, 21 pp. [PDF]

• Pan, Xinghong; Blow up of solutions to 1-d Euler equations with time-dependent damping. J. Math. Anal. Appl. 442 (2016), no. 2, 435–445. [PDF]

• Pan, Xinghong; Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition. J. Differential Equations 278 (2021), 146–188. [PDF]

• Pan, Xinghong; Global existence of solutions to 1-d Euler equations with time-dependent damping. Nonlinear Anal. 132 (2016), 327–336. [PDF]