近日，非线性偏微分方程团队在J. London Math. Soc. (伦敦数学学会杂志)上发表了题为“On the analytical construction of radially symmetric solutions for the relativistic Euler equations”的研究论文，全文55页。该论文胡燕波教授为第一兼通讯作者，浙江科技大学为第一兼通讯单位。J. London Math. Soc.于1926年创刊，是伦敦数学学会的官方出版物之一，也是英国最具代表性的国际综合性数学期刊之一。
作者在该文中推导了径向对称相对论欧拉方程组黎曼不变量的先验估计，建立了由特征线与激波曲线围成的角型区域内光滑解的长时间存在性，并证明了光滑解的存在时间与初始间断的位置成正比。（数学系 陈建军 学科办 陈璟）
文章链接：http://dx.doi.org/10.1112/jlms.70005
2024年至今，胡燕波教授以第一或通讯作者在J. London Math. Soc.、SIAM J. Math. Anal.，J. Differential Equations、Nonlinearity、Proc. Roy. Soc. Edinburgh Sect. A、Stud. Appl. Math.等国际著名数学期刊上发表多项创新性研究成果，代表性论文有：
1. Yanbo Hu, Binyu Zhang, On the analytical construction of radially symmetric solutions for the relativistic Euler equations, J. London Math. Soc., 110 (2024): e70005, 55 pages. (中科院2区，数学类T2)
http://dx.doi.org/10.1112/jlms.70005
2. Geng Chen, Yanbo Hu, 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, 42 pages. (中科院2区，数学类T2)
https://doi.org/10.1137/23M1574567
3. Yanbo Hu, Sonic-supersonic solutions for the two-dimensional steady compressible multiphase flow equations, J. Differential Equations, 378 (2024): 626-677, 52 pages. (中科院2区，数学类T2)
https://doi.org/10.1016/j.jde.2023.10.025
4. Yanbo Hu, Houbin Guo, Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases, Nonlinearity, 37 (2024): 055006, 21 pages. (中科院2区，应用数学类T2)
https://doi.org/10.1088/1361-6544/ad351c
5. Yanbo Hu, Yuusuke Sugiyama, The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy, Adv. Nonlinear Stud., 24 (2024): 857-879, 23 pages. (中科院2区，数学类T3)
https://doi.org/10.1515/ans-2023-0142
6. Yanbo Hu, Continuous/smooth transonic solutions to the quasi-one-dimensional steady relativistic Euler equations, Appl. Math. Let., 156 (2024): 109125, 6 pages. (中科院2区，应用数学类T3)
https://doi.org/10.1016/j.aml.2024.109125
7. Ying Zeng, Yanbo Hu, Global solutions to nonlinear wave equations arising from a variational principle, J. Nonlinear Var. Anal., 8 (2024), 1-21, 21 pages. (中科院2区)
https://doi.org/10.23952/jnva.8.2024.1.01
8. Yanbo Hu, 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, online, 40 pages. (中科院3区，数学类T2)
https://doi.org/10.1017/prm.2024.76
9. Yanbo Hu, Houbin Guo, Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime, Stud. Appl. Math., 2024, online, 22 pages. (中科院2区，应用数学类T2)
https://doi.org/10.1111/sapm.12775
