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胡玉玺
发布时间: 2017-11-21 00:00 作者: 点击: 6802

 


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


一、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。

二、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  

三、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

四、留学经历

2009.10-2010.7 德国Konstanz大学 硕士交换生项目

五、讲授课程

本科:数学物理方程(偏微分方程),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)

六、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  

七、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.


八、教学获奖

2017,2019年优秀教学质量奖(二等奖)

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),2023优秀本科毕业论文指导教师(林安赐)

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)


九、发表文章


1.Yuxi Hu and Reinhard Racke, Blow-up of solutions for relaxed compressible Navier-Stokes equations, J. Hyper. Diff. Eqs., to appear, 2024.

2.Yuxi Hu and Xuefang Wang, Asymptotic stability of rarefaction waves for hyperbolized compressible Navier-Stokes equations, J. Math. Fluid Mech. 25-90, 2023.

3.Yuxi Hu and Reinhard Racke, Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stokes equations, SIAM J. Math. Anal., 55(5)(2023), 4788-4815.

4.Yuxi Hu and Zhao Wang, The Low Mach number limit for isentropic compressible Navier-Stokes equations with a revised Maxwell's law, Acta Math. Sci., 43B(3)(2023), 1239-1250.

5.Yuxi Hu, Reinhard Racke and Na Wang, Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations, J. Differential  Equations, 327(2022), 145-165.

6.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.

7.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.

8.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.

9.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.

10.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.

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

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

13.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.

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.

14.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.

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

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

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

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

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

20.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.

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

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

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

24.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.

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

十、指导硕士研究生:

彭婧秀(2017级,毕业),王召(2018,毕业),王雪芳(2018,毕业),徐天骄(2019,毕业),蒋逸剑(2019,毕业),何本骄(2020,毕业),郭美宏(2020,毕业),张立(2021,在读),郭常鑫(2021,在读),管仁永(2022,在读),王蕾(2022,在读),易攀(2022,在读),宋燃(2023,在读),张洁(2023,在读),赵小宁(2023,在读)

指导博士研究生:

袁梦冉(2023,在读)


欢迎优秀学生报考PDE方向研究生!



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