姓名：胡燕波
职称：教授
办公室：闻理园A4-503-2
邮箱：[email protected]
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。2002年-2006年南昌大学本科，2006年-2012年上海大学硕士、博士。主要研究非线性偏微分方程解的适定性，特别是可压缩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. Ration. Mech. Anal.、Math. Ann.、J. London Math. Soc.、SIAM J. Math. Anal.、Calc. Var. PDE、J. Differential Equations、Nonlinearity、J. Geometric Analysis、Canadian J. Math.、Proc. Roy. Soc. Edinburgh Sect. A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, Axisymmetric solutions of the pressure-gradient system, J. Math. Phys., 53(2012): 073703, 11 pages.
[3]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.
[4]胡燕波, Conservative solutions to a one-dimensional nonlinear variational wave equation, J. Differential Equations, 259 (2015): 172-200.
[5]胡燕波, Global solutions to a nonlinear wave system arising from cholesteric liquid crystals, J. Hyper. Differ. Eqs., 14 (2017): 27-71.
[6]胡燕波, On the existence of solutions to a one-dimensional degenerate nonlinear wave equation, J. Differential Equations, 265 (2018): 157-176.
[7] 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. Differential Equations, 267 (2019): 6265-6289.
[8]胡燕波and Jiequan Li, Sonic-supersonic solutions for the two-dimensional steady full Euler equations, Arch. Ration. Mech. Anal., 235 (2020): 1819-1871.
[9]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.
[10]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.
[11]胡燕波and Jiequan Li, On a supersonic-sonic patch arising from the frankl problem in transonic flows, Commun. Pure Appl. Anal., 20 (2021): 2643-2663. (Dedicated to the celebration of the 80th birthday of Professor Shuxing Chen)
[12]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.
[13]胡燕波, On a supersonic-sonic patch in the 3-D steady axisymmetric transonic flows, SIAM J. Math. Anal., 54 (2022): 1515-1542.
[14]胡燕波, On a degenerate mixed-type boundary value problem for the two-dimensional self-similar Euler equations, Ann. Math. Sci. Appl., 8 (2023): 21-76.
[15] 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.
[16]胡燕波, Sonic-supersonic solutions for the two-dimensional steady compressible multiphase flow equations, J. Differential Equations, 378 (2024): 626-677.
[17] 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.
[18]胡燕波 and Houbin Guo, Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases, Nonlinearity, 37 (2024): 055006, 21 pages.
[19]胡燕波and Sugiyama Yuusuke, The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy, Adv. Nonlinear Studies, 24 (2024): 857-879.
[20]胡燕波and Binyu Zhang, On the analytical construction of radially symmetric solutions for the relativistic Euler equations, J. London Math. Soc., 110 (2024): e70005, 55 pages.
[21]胡燕波and Houbin Guo, Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime, Stud. Appl. Math., 53 (2024): e12775, 22 pages.
[22]胡燕波, The solvability for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals, Canadian J. Math., 76 (2024): 1823-1890.
[23]胡燕波and Sugiyama Yuusuke, Well-posedness of the initial-boundary value problem for 1D degenerate quasilinear wave equations, Adv. Differential Equations, 30 (2025): 177-206.
[24]胡燕波and Sugiyama Yuusuke, Well-posedness of degenerate initial-boundary value problems to a hyperbolic-parabolic coupled system arising from nematic liquid crystals, Arch. Ration. Mech. Anal., 249 (2025): 19, 66 pages.
[25]胡燕波, Houbin Guo and Xiaolong Qin, Smooth local solutions to the degenerate hyperbolic Gauss-Codazzi system, Calc. Var. PDE, 64 (2025): 142, 49 pages.
[26] Geng Chen, Faris A. El Katri, 胡燕波and Yannan Shen, Global solution and singularity formation for the supersonic expanding wave of compressible Euler equations with radial symmetry, J. London Math. Soc., 111 (2025): e70208, 34 pages.
[27] Kefeng Wang, Lihui Guo and胡燕波, The 2D steady supersonic van der Waals flow turning a sharp corner, J. Differential Equations, 438 (2025):113385, 35 pages.
[28]胡燕波, Houbin Guo, Shuangrong Li and Xiaolong Qin, The uniform regularity of solutions to the degenerate hyperbolic Gauss-Codazzi system, J. Geometric Analysis, 3 5(2025): 406, 28 pages.
[29]胡燕波and Guodong Wang, On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations, Proc. Roy. Soc. Edinburgh Sect. A, 2024, doi: 10.1017/prm.2024.76, 40 pages.
[30] Geng Chen, Houbin Guo and胡燕波, Global smooth solutions and singularity formation for the relativistic Euler equations with radial symmetry, Canadian J. Math., 2025, doi: 10.4153/s0008414x25101648, 33 pages.
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
8、浙江省自然科学基金面上项目，LMS25A010014，2025.1-2026.12，在研
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等SCI期刊。
更新至2025年11月
