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    胡玉玺


    胡玉玺 副教授,博士生导师,美国”数学评论”评论员,教育部学位论文通讯评审专家

     

    办公室逸夫楼1409邮箱hu-yuxi@163.com

     

    研究兴趣

    非线性偏微分方程强解及弱解的局部及整体适定性、渐近行为、小参数极限,主要包括可压缩Navier-Stokes方程组及相关模型,热弹性力学方程组及相关模型。

     

    教育背景

    2008.8-2013.7 上海交通大学 数学      博士

    2004.9-2008.7 青岛大学   数学与应用数学 学士

     

    工作经历

    2015.7-至今 中国矿业大学(北京)     讲师、副教授

    2013.8-2015.6 北京应用物理与计算数学研究所 博士后

     

    留学经历

    2009.10-2010.7 德国Konstanz大学 硕士交换生项目

     

    讲授课程

     科:数学物理方程,拓扑学,实变函数,高等数学,概率论与数理统计,线性代数

    研究生:偏微分方程基础(硕士),非线性发展方程(硕士),偏微分方程(博士)

     

    国际交流

    2019.4.8  -2019.4.17 Konstanz大学 访问学者

    2017.7.10-2017.7.31 Konstanz大学 访问学者

    2015.5.18-2015.5.30 Konstanz大学 访问学者

    2014.6.30-2014.7.13 Konstanz大学 访问学者

     

    主持基金及人才项目

    1.北京市自然科学青年基金,热波理论及其在两类双曲抛物方程组中的应用,1164015,2016.1-2017.12. (结题)

    2.国家自然科学青年基金,Maxwell本构方程下的可压缩Navier-Stokes方程组的数学理论研究,11701556,2018.1-2020.12 (结题)

    3.中国矿业大学(北京)越崎青年学者.

     

    教学获奖

    1. 20172019年优秀教学质量奖(二等奖)

    2. 2019优秀本科毕业论文指导教师(稂玉玉,一等奖),2020优秀本科毕业论文指导教师(巩星翰,二等奖),2021优秀本科毕业论文指导教师(宋新语,二等奖)

    3. 2019大学生优秀创新训练指导教师(学生:许婧婷,巩星翰,杨欣东,姜喆,秦雨丝)

     

    发表文章

    1. Yuxi Hu, Reinhard Racke and Na Wang, Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations, J. Differential  Equations, to appear, 2022.

    2. Yuxi Hu* and Zhao Wang, Linear stability of viscous shock wave for 1-d compressible Navier-Stokes equations with Maxwell’s law, Quart. Appl. Math. (2022), 2, 221-235.

    3. Zhao Wang and Yuxi Hu*, Low mach number limit of full compressible Navier-Stokes equations with revised Maxwelll law, J. Math. Fluid Mech. (2022), 24:6, 1-12.

    4. Jishan Fan, Yuxi Hu* and Gen Nakamura, Local well-posedness for an isentropic compressible Ginzburg-Landau-Navier-Stokes with vacuum, Math. Nachr. (2021), 294 (5), 862-876.

    5. Jishan Fan, Yuxi Hu* and Gen Nakamura, Local existence for an isentropic compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, B. Korean Math. Soc. (2020), 57(4), 921-932.

    6. Zhigang Li, Yuxi Hu* and Xinglong Wu, Local Well-posedness and global existence for a multi-component Novikov equation, Appl. Anal. (2020), online, doi: 10.1080/00036811.2020.1721477.

    7. Yuxi Hu and Reinhard Racke, Hyperbolic compressible Navier-Stokes equations, J. Differential Equations (2020), 3196-3220.

    8. Na Wang and Yuxi Hu*, Blowup of solutions for compressible Navier-Stokes equations with Maxwell’s law, Applied Mathematics Letters (2020), 106221.

    9. Li Zhigang and Yuxi Hu*, Local well-posedness and blow-up criteria for a three-component Camassa–Holm type equation, J. Math. Phys. (2020), 021501.

    10. Yuxi Hu and Na Wang, Global existence versus blow-up results for one dimensional compressible Navier-Stokes equations with Maxwell's law, Math. Nachr. (2019), 826-840.

    11. Na Wang and Yuxi Hu*, On global solutions of gravity driven nonhomogeneous viscous flows in a bounded domain, Math. Methods Appl. Sci. (2019), 3654-3661.

    12. Yuxi Hu and Reinhard Racke, Compressible Navier-Stokes equations with revised Maxwell’s law; J. Math. Fluid Mech. (2017), 77-90. 

    13. Yuxi Hu and Reinhard Racke, Compressible Navier-Stokes equations with hyperbolic heat conduction, J. Hyper. Differ. Equations (2016), 233-247.. 

    14. Yuxi Hu, On initial boundary value problems for planar magnetohydrodynamics with large data, Math. Method Appl. Sci. (2015), 4111-41311. 

    15. Yuxi Hu, Global solutions and asymptotic behavior for planar magnetohydrodynamics with large data, Quart. Appl. Math. (2015)759-772. 

    16. Yuxi Hu and Qiangchang Ju, Global large solutions of magnetohydrodynamics with temperature dependent heat conductivity, Z. Angew. Math. Phys. 66 (2015), 865-889. 

    17. Yuxi Hu and Na Wang, On global solutions in one-dimensional thermoelasticity with second sound in the half line, Comm. Pure. Appl. Anal. 14 (2015), 1671-1683. 

    18. Yuxi Hu, Global existence and asymptotic behavior for one dimensional thermoelasticity of integral type with hyperbolic heat conduction, Nonlinear Analysis 113 (2015), 372-384. 

    19. Jishan Fan and Yuxi Hu*, Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity, J. Math. Phys. 56 (2015) 023101. 

    20. Yuxi Hu and Reinhard Racke, Formation of singularities in one-dimensional thermoelasticity with second sound, Quart. Appl. Math. 72 (2014), 311-321. 

    21. Jishan Fan and Yuxi Hu*, Uniform existence of the 1-d complete equations for an electromagnetic fluid, J. Math. Anal. Appl. 419 (2014), 1-9. 

    22. Yuxi Hu, Global Solvability in thermoelasticity with second sound on the semi-axisJ. Part. Diff. Eq. 25 (2012), 37-68.

     

    指导研究生:

    彭婧秀(2017级,毕业),王召(2018,毕业),王雪芳(2018,毕业),徐天骄(2019,在读),蒋逸剑(2019,在读),何本2020,在读),郭美宏(2020,在读),张立(2021,在读),郭常鑫(2021,在读)

     

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