科研论文目录：

1. 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.

2. Jingyu Li, Lina Wang and Yaping Wu, Stability of large-amplitude traveling fronts for a traffic flow model with moving barriers, Disc. Cont. Dyn. Syst. Series S., 17 (2024) 720-741.

3. 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.

4. Lei Peng, Jingyu Li, Ming Mei and Kaijun Zhang, Characteristic boundary layers in the vanishing viscosity limit for the Hunter-Saxton equation, J. Differential Equations, 386 (2024) 164-195.

5. Xiaowen Li and 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.

6. Xu Song and Jingyu Li, Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity, Nonlinear Analysis, 232 (2023) 113284.

7. Lei Peng, Jingyu Li, Ming Mei and Kaijun Zhang, Convergence rate of the vanishing viscosity limit for the Hunter-Saxton equation in the half space, J. Differential Equations, 328 (2022) 202-227.

8. Xu Song and Jingyu Li, Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility, Math. Biosci. Eng, 19 (2022),13988-14028.

9. Huicong Li and Jingyu Li, Lifespan of effective boundary conditions for the heat equation, J. Math. Phys. 63 (2022) 091509.

10. 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.

11. Jingyu Li, Linlin Su, Xuefeng Wang and Yantao Wang, Bulk-surface coupling: Derivation of two models, J. Differential Equations, 289 (2021) 1-34.

12. 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.

13. 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.

14. 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.

15. Jingyu Li and Zhi-An Wang, Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space, J. Differential Equations, 268 (2020), 6940-6970.

16. Shaohua Chen, Haitong Li, Jingyu Li, Ming Mei and Kaijun Zhang, Global and blow-up solutions for compressible Euler equations with time-dependent damping, J. Differential Equations, 268 (2020), 5035-5077.

17. Haitong Li, Jingyu Li, Ming Mei and Kaijun Zhang, Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping, J. Math. Anal. Appl. 473(2019), 1081-1121.

18. Jingyu Li, Ming Mei, Guojing Zhang and Kaijun Zhang, Steady hydrodynamic model of semiconductors with sonic boundary: (II) supersonic doping profile, SIAM J. Math. Anal. 50(2018), 718-734.

19. Jingyu Li, Ming Mei, Guojing Zhang and Kaijun Zhang, Steady hydrodynamic model of semiconductors with sonic boundary: (I) subsonic doping profile, SIAM J. Math. Anal.49(2017), 4767-4811.

20. Haitong Li, Jingyu Li, Ming Mei and Kaijun Zhang,Convergence to nonlinear diffusion waves for solutions of p-system with time-dependent damping, J. Math. Anal. Appl. 456(2017), 849-871.

21. Huicong Li and Jingyu Li, Asymptotic behavior of Dirichlet eigenvalues on a body coated by functionally graded material, Commun. Pure Appl. Anal. 16 (2017), 1493-1516.

22. Jingyu Li and Chuangchuang Liang, Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS, Disc. Cont. Dyn. Sys. 36 (2016), 833-849.

23. Jingyu Li, Tong Li and Zhi-An Wang, Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity, Math. Models Methods Appl. Sci. 24(2014), 2819-2849.

24. Chuangchuang Liang, Jingyu Li and Kaijun Zhang, On a hyperbolic equation arising in electrostatic MEMS, J. Differential Equations. 256(2014), 503-530.

25. Jingyu Li, Lina Wang and Kaijun Zhang, Asymptotic stability of a composite wave of two traveling waves to a hyperbolic-parabolic system modeling chemotaxis, Math. Meth. Appl. Sci. 36(2013), 1862-1877.

26. La-Su Mai, Jingyu Li and Kaijun Zhang, On the steady state relativistic Euler-Poisson equations, Acta Appl. Math. 125(2013),135-157.

27. Hai-Yang Jin, Jingyu Li and Zhi-An Wang, Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity, J. Differential Equations 255(2013),193-219.

28. Dapeng Du, Jingyu Li and Kaijun Zhang, Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids, Comm. Math. Sci. 11(2013), 541-546.

29. Jingyu Li, Xuefeng Wang, Guojing Zhang and Kaijun Zhang, Asymptotic behavior of Robin problem for heat equation on a coated body，Rocky Mountain J. Math. 42(2012), 937-958.

30. Jingyu Li and Kaijun Zhang, Reinforcement of the Poisson equation by a thin layer, Math. Models Methods Appl. Sci. 21(2011), 1153-1192.

31. Jingyu Li and Kaijun Zhang, Global existence of dissipative solutions to the Hunter-Saxton equation via vanishing viscosity，J. Differential Equations 250(2011), 1427-1447.

32. Jingyu Li, Steve Rosencrans, Xuefeng Wang and Kaijun Zhang, Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body, Proc. Amer. Math. Soc. 137(2009), 1711-1721.

33. Jingyu Li, Asymptotic behavior of solutions to elliptic equations in a coated body, Commun. Pure Appl. Anal. 8(2009), 1251-1267.

34. Jingyu Li and Kaijun Zhang,Space-time estimates for the wave equations with singular potentials, J. Math. Anal. Appl. 348(2008), 244-254.

在投论文：

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

2. Xiaowen Li, Jingyu Li, Ming Mei and Jean-Christophe Nave, Nonlinear stability of shock profiles to Burgers‘ equation with critical fast diffusion and singularity, in submission.

3. Xiaowen Li and Jingyu Li, Transition layers to chemotaxis-consumption models with volume-filling effect, in submission.