科研论文目录：

1. J. Carrillo, J. Li, Z. A. Wang and W. Yang, Boundary spike-layer solutions of the multi-dimensional singular Keller-Segel system: existence, profiles and stability, Proc. London Math. Soc.,2026.

2.  Jingyu Li, Xiaowen Li and Ming Mei, Asymptotic stability of viscous shock profiles to Burgers equation with singular super-fast diffusion, J. Differential Equations, 459 (2026), 114158.

        3.  Xiaowen Li, Jingyu Li, Ming Mei and J.C. Nave, Nonlinear stability of shock profiles to Burgers equation with critical fast diffusion and singularity, SIAM J. Math. Anal., 57(2025),6403-6431.
4.  Sitong Liu, Jingyu Li and Lu Xu, Nonlinear stability of planar traveling waves to a multidimensional parabolic-hyperbolic system arising from chemotaxis, J. Differential Equations439 (2025), 113414.
5.  Guiling Wu, Jingyu Li and Lu Xu, The role of the toxin effect in the predator-prey system with prey-taxis, J.Math. Anal. Appl. 551 (2025), no. 1, Paper No. 129639.
6.  Jingyu Li and Zhi-An Wang, Multiple stable traveling wave profiles of a systemof conservation laws arising from chemotaxis, CSIAM Trans. Life Sci.1(2025) No. 1, 153-178.
7.  Xiaowen Li and Jingyu Li, Transition layers to chemotaxis- consumption models with volume-filling effect, J. Math. Study, 57 (2024), no.3, 331-357.
8.  Xu Song, Jingyu Li and Tianbo Zhang, Nonlinear stability of spiky patterns to a chemotaxis-consumption model with signal-dependent motilities, J. Differential Equations, 408 (2024) 279-323.
9.  Jingyu Li, Lina Wang and Yaping Wu, Stability of large-amplitude traveling fronts for a traffic flow modelwith moving barriers, Disc. Cont. Dyn. Syst. Series S., 17 (2024) 720-741.
10.Dapeng Du, Jingyu Li, Yansheng Ma, Ruyi Pang, Global solutions to the Nernst-Planck-Euler system on bounded domain, J. Differential Equations, 390 (2024) 345-369.
11. Lei Peng, Jingyu Li, Ming Mei and Kaijun Zhang, Characteristic boundary layers in the vanishing viscosity limitfor the Hunter-Saxton equation, J. Differential Equations, 386 (2024) 164-195.
12. Xiaowen Liand Jingyu Li, Stability of stationary solutions to a multidimensional parabolic-parabolic chemotaxis-consumption model, Math. Models Methods Appl. Sci., 33 No. 14 (2023) 2879-2904.
13. Xu Song and Jingyu Li, Convergence rateof solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity, Nonlinear Analysis, 232 (2023) 113284.
14. Lei Peng, Jingyu Li, Ming Mei andKaijun Zhang, Convergence rate of the vanishing viscosity limit for the Hunter-Saxton equation in the half space, J. Differential Equations, 328 (2022) 202-227.
15. Xu Song and Jingyu Li, Asymptoticstability of spiky steady states for a singular chemotaxis model with signal-suppressed motility, Math. Biosci. Eng, 19 (2022),13988-14028.
16. Huicong Li and Jingyu Li, Lifespan of effective boundary conditions for the heat equation, J. Math. Phys. 63 (2022) 091509.
17. Huicong Li, Jingyu Li and Xuefeng Wang, Error estimates and lifespan of effective boundary conditions for 2-dimensional optimally aligned coating, J. Differential Equations, 303 (2021) 1-41.
18. Jingyu Li, Linlin Su, Xuefeng Wang and Yantao Wang, Bulk-surface coupling: Derivation of two models, J. Differential Equations, 289 (2021) 1-34.
19. Mohammad Ghani, Jingyu Li and Kaijun Zhang, Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion, Disc. Cont. Dyn. Sys. Ser. B., 26 (2021) 6253-6265.
20. Jose Carrillo, Jingyu Li and Zhi-An Wang, Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability, Proc. London Math. Soc., 122 (2021), 42-68.
21. Haitong Li, Jingyu Li, Ming Mei and Kaijun Zhang, Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping, Appl. Math. Lett., 113 (2021), 106882.
22. Jingyu Li and Zhi-An Wang, Convergenceto traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space, J. Differential Equations, 268 (2020), 6940-6970.
23.Shaohua Chen, Haitong Li, Jingyu Li,Ming Mei and Kaijun Zhang, Global and blow-up solutions for compressible Eulerequations with time-dependent damping, J. Differential Equations, 268 (2020), 5035-5077.
24.Haitong Li, Jingyu Li, Ming Mei andKaijun Zhang, Asymptotic behavior of solutions to bipolar Euler-Poissonequations with time-dependent damping, J. Math. Anal. Appl. 473(2019),1081-1121.
25.Jingyu Li, Ming Mei, Guojing Zhang andKaijun Zhang, Steady hydrodynamic model of semiconductors with sonicboundary: (II) supersonic doping profile, SIAM J. Math. Anal. 50(2018), 718-734.
26.Jingyu Li, Ming Mei, Guojing Zhang andKaijun Zhang, Steady hydrodynamic model of semiconductors with sonic boundary:(I) subsonic doping profile, SIAM J.Math. Anal.49(2017), 4767-4811.
27.Haitong Li, Jingyu Li, Ming Mei andKaijun Zhang,Convergence to nonlinear diffusion waves for solutionsof p-system with time-dependent damping, J. Math. Anal. Appl. 456(2017), 849-871.
28.Huicong Li and Jingyu Li, Asymptotic behavior of Dirichlet eigenvalueson a body coated by functionally graded material, Commun. Pure Appl.Anal. 16 (2017), 1493-1516.
29.Jingyu Li and Chuangchuang Liang, Viscositydominated limit of global solutions to a hyperbolic equation in MEMS, Disc.Cont. Dyn. Sys. 36 (2016), 833-849.
30.Jingyu Li, Tong Li and Zhi-An Wang, Stabilityof traveling waves of the Keller–Segel system with logarithmic sensitivity,Math. Models Methods Appl. Sci. 24(2014), 2819-2849.
31.Chuangchuang Liang, Jingyu Li andKaijun Zhang, On a hyperbolic equation arising in electrostatic MEMS, J. DifferentialEquations. 256(2014), 503-530.
32.Jingyu Li, Lina Wang and Kaijun Zhang,Asymptotic stability of a composite wave of two traveling waves to ahyperbolic-parabolic system modeling chemotaxis, Math. Meth. Appl. Sci. 36(2013),1862-1877.
33.La-Su Mai, Jingyu Li and Kaijun Zhang,On the steady state relativistic Euler-Poisson equations, Acta Appl. Math. 125(2013),135-157.
34.Hai-Yang Jin, Jingyu Li and Zhi-AnWang, Asymptotic stability of traveling waves of a chemotaxis model with singularsensitivity, J. Differential Equations 255(2013),193-219.
35.Dapeng Du, Jingyu Li and Kaijun Zhang,Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermalfluids, Comm. Math. Sci. 11(2013), 541-546.
36. Jingyu Li, Xuefeng Wang, Guojing Zhangand Kaijun Zhang, Asymptotic behavior of Robin problem for heat equation on acoated body，Rocky Mountain J. Math. 42(2012), 937-958.
37. Jingyu Li and Kaijun Zhang,Reinforcement of the Poisson equation by a thin layer, Math. Models Methods Appl.Sci. 21(2011), 1153-1192.
38. Jingyu Li and Kaijun Zhang, Globalexistence of dissipative solutions to the Hunter-Saxton equation via vanishingviscosity，J. Differential Equations 250(2011), 1427-1447.
39. Jingyu Li, SteveRosencrans, Xuefeng Wang and Kaijun Zhang, Asymptotic analysis of a Dirichlet problem for the heatequation on a coated body, Proc. Amer. Math. Soc. 137(2009), 1711-1721.
40. Jingyu Li, Asymptotic behavior of solutions to elliptic equations in a coated body, Commun. Pure Appl. Anal. 8(2009), 1251-1267.
41. Jingyu Li and Kaijun Zhang,Space-timeestimates for the wave equations with singular potentials, J. Math. Anal. Appl. 348(2008),244-254.

在投论文：

1. Dongfang Li, Xiaowen Li, Jingyu Li and Ming Mei, Traveling waves to a logarithmic chemotaxis model with fast diffusion and singularities, in submission.

2. Sitong Liu and Jingyu Li, Asymptotic stability of strong rarefaction wavesto a parabolic-hyperbolic system arising from chemotaxis, in submission.

3. Jingyu Li and Zhi-An Wang, Nonlinear asymptotic stability of traveling waves to the singular Keller-Segel system with logistic source, in submission.

4. Jingyu Li, Linlin Su, Xuefeng Wang and Yantao Wang, The role of large advection in a thin  internal  layer as effective interface conditions, in submission.

5. Shaoqi Liang, Jingyu Li and  Yaping Wu, Stability of Traveling Waves for a Class of Chemotactic Models with Logistic Growth, in submission.