姓名：胡燕波

职称：教授

办公室：闻理园A4-503-2  

邮箱：yanbo.hu@zust.edu.cn

研究方向：非线性偏微分方程

个人简介：

    胡燕波，博士（后），教授，硕士生导师，主要研究非线性偏微分方程解的适定性，特别是可压缩流体力学方程组、高维欧拉方程组的跨声速结构、非线性波方程与非线性双曲-抛物耦合系统的初边值问题等，迄今为止在Arch. Rat. Mech. Anal.、Math. Ann.、SIAM J. Math. Anal.、J. Differential Equations、Nonlinearity、Canadian J. Math.等国际高水平期刊发表SCI论文60余篇，获2016年度浙江省自然科学三等奖1项，2021浙江省数学会科研成果二等奖1项，入选浙江省高校中青年学科带头人、杭州市131人才等，获杭州师范大学首届十佳研究生导师称号，指导本科生获国创项目、省级竞赛一等奖等多项。

学术研究：

代表性论文

[1] 胡燕波, Conservative solutions to a system of variational wave equations, J. Differential Equations 252 (2012) 4002-4026.

[2]胡燕波and Guodong Wang, Semi-hyperbolic patches of solutions to the two dimensional nonlinear wave system for Chaplygin gases, J. Differential Equations 257 (2014) 1567-1590.

[3] 胡燕波, Conservative solutions to a one-dimensional nonlinear variational wave equation, J. Differential Equations 259 (2015) 172-200.

[4] 胡燕波, On the existence of solutions to a one-dimensional degenerate nonlinear wave equation, J. Differential Equations 265 (2018) 157-176.

[5] Fengyan Li(研究生) and 胡燕波, On a degenerate mixed-type boundary value problem to the 2-D steady Euler equation, J. Differ. Eq. 267 (2019) 6265-6289.

[6] 胡燕波and Jiequan Li, Sonic-supersonic solutions for the two-dimensional steady full Euler equations, Arch. Rat. Mech. Anal. 235 (2020) 1819-1871.

[7] 胡燕波and Jiequan Li, On a global supersonic-sonic patch characterized by 2-D steady full Euler equations, Adv. Differential Equations 25 (2020) 213-254.

[8]胡燕波and Jianjun Chen, Sonic-supersonic solutions to a mixed-type boundary value problem for the 2-D full Euler equations, SIAM J. Math. Anal. 53 (2021) 1579-1629.

[9] 胡燕波, C. Klingenberg and Yun-guang Lu, Zero relaxation time limits to a hydrodynamic model of two carrier types for semiconductors, Math. Ann. 382 (2022) 1031-1046.

[10]胡燕波, On a supersonic-sonic patch in the 3-D steady axisymmetric transonic flows, SIAM J. Math. Anal. 54 (2022) 1515-1542.

[11] Yongqiang Fan, Lihui Guo, 胡燕波 and Shouke You, Semi-hyperbolic patch characterized by 2D steady relativistic Euler equations, J. Differential Equations 354 (2023) 264-295.

[12] 胡燕波, Sonic-supersonic solutions for the two-dimensional steady compressible multiphase flow equations, J. Differential Equations 378 (2024) 626-677.

[13] Geng Chen, 胡燕波 and Qingtian Zhang, Initial-boundary value problems for Poiseuille flow of nematic liquid crystal via full Ericksen-Leslie model, SIAM J. Math. Anal. 56 (2024) 1809-1850.

[14] 胡燕波 and Houbin Guo, Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases, Nonlinearity 37 (2024) No. 055006.

[15] 胡燕波, The solvability for a nonlinear degenerate hyperbolic parabolic coupled system arising from nematic liquid crystals, Canadian J. Math., 2023, doi: 10.4153/S0008414X23000640.

主持项目

1、浙江省自然科学基金青年项目，LQ13A010024，2013.1-2015.12，已结题

2、国家自然科学基金青年项目，11301128，2014.1-2016.12，已结题

3、中国博士后基金项目(一等)，2015M580286，2015.9-2017.6，已结题

4、浙江省自然科学基金面上项目，LY17A010019，2017.1-2019.12，已结题

5、杭州市高层次留学回国人员创新项目，2020.1-2022.12，已结题

6、浙江省自然科学基金面上项目，LY21A010017，2021.1-2023.12，已结题

7、国家自然科学基金面上项目，12171130，2022.1-2025.12，在研

其他：

学术服务

1、美国数学会评论员

2、德国数学文摘评论员

3、教育部学位论文评审专家

4、SCI期刊审稿人，包括：J. London Math. Soc.、SIAM J. Math. Anal.、J. Differential Equations、Stud. Appl. Math.、Commun. Math. Sci.、J. Math. Phys.、Appl. Math. Let.、Appl. Math. Mod.、J. Comp. Appl. Math.等SCI期刊。