潘星宏 副研究员，硕士生导师 数学学院， 南京航空航天大学

办公室：1号楼12006

邮箱: xinghong_87@nuaa.edu.cn

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[MathSciNet] [arXiv.org]

[我的简历][English Page]

个人简介

        潘星宏,副研究员.2010年9月至2017年3月硕博连读于南京大学数学系,师从南京大学尹会成教授,取得理学博士学位. 2013年1月至3月作为访问学生访问加州大学河滨分校数学系,访问老师为张旗教授.2014年12月至2016年12月赴加州大学河滨分校进行为期两年博士联合培养项目,联合培养导师为张旗教授. 现为南京航空航天大学副研究员,入选2018年江苏省“双创博士”人才计划.主要研究方向包含不可压Navier-Stokes方程解的正则性和唯一性问题,定常Navier-Stokes方程无粘极限,带时间衰减阻尼Euler方程适定性,受到江苏省自然科学基金青年基金和国家自然科学基金 青年基金资助.目前在 Arch. Ration. Mech. Anal., J. Funct. Anal., J. Diff. Equ., SIAM JMA, Sci. China Math., Calc. Var. PDE, Commun. Contemp. Math., Disc. Cont. Dyn. Syst., 等杂志发表多篇SCI论文.

研究兴趣

• 非线性椭圆和抛物偏微分方程;Navier-Stokes方程及其耦合模型;

• 带阻尼Euler方程.

教育经历

• 2010.09-2017.03,南京大学,理学博士,导师:尹会成;

• 2014.12 - 2016.12,美国加州大学河滨分校,数学系,联合培养博士;

• 2013.01 - 2013.03,美国加州大学河滨分校,数学系,访问学生;

• 2006.09 - 2010.06，南京大学,学士.

工作经历

• 2022.07 - 至今,南京航空航天大学,数学学院,副研究员;

• 2022.01 - 2022.06,南京航空航天大学,数学学院,专聘副研究员;

• 2017.04 - 2022.12,南京航空航天大学,理学院,讲师.

科研经历

• 2023.11 - 2023.12,韩国中央大学, 访问学者, 邀请人: Prof. Dongho Chae.

• 2019.01 - 2019.02,北京大学, 访问学者, 邀请人: 章志飞教授.

会议报告

• 第十二届AIMS动力系统,微分方程及其应用国际会议,2018年7月,台湾台北,分会场25分钟邀请报告.

科研项目

• 轴对称Navier-Stokes方程D解衰减性和消失性研究,省自然科学基金青年基金,2018.07-2021.06,主持;
  

• 具轴对称Navier-Stokes方程解的性态研究,国家青年科学基金项目,2019.01-2021.12,主持;
  

• 高雷诺数及宏观微观流体力学方程的数学理论,国家自然科学基金重点项目,2021.01-2025.12,参与;
  

• 中央高校基本科研业务费,2023.01-2024.12,主持.
  

人才项目

• 江苏省双创计划,双创博士,省中组部,2019.01-2020.12.
  

学术论文(部分)

• Li, Zijin; Pan, Xinghong; Yang, Jiaqi; On Leray's problem in an infinitely long pipe with the Navier-slip boundary condition. Sci. China Math. 67 (2024), no. 4, 819–854. [PDF]

• Li, Zijin; Pan, Xinghong; Yang, Xin; Zeng, Chulan; Zhang, Qi S.; Zhao, Na; Finite speed axially symmetric Navier-Stokes flows passing a cone. J. Funct. Anal. 286 (2024), no. 10, Paper No. 110393. [PDF]

• Li, Zijin; Pan, Xinghong; Yang, Jiaqi; Constrained large solutions to Leray's problem in a distorted strip with the Navier-slip boundary condition. J. Differential Equations 377 (2023), 221–270. [PDF]

• Li, Zijin; Pan, Xinghong; Asymptotic properties of generalized D-solutions to the stationary axially symmetric Navier-Stokes equations. Commun. Contemp. Math. 25 (2023), no. 5, Paper No. 2250013, 26 pp. [PDF]

• Pan, Xinghong; On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum. Nonlinearity 35 (2022), no. 6, 3209–3244. [PDF]

• Pan, Xinghong; Xu, Jiang; Zhu, Yi; Global existence in critical spaces for non Newtonian compressible viscoelastic flows. J. Differential Equations 331 (2022), 162–191. [PDF]

• 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]