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Faculty

Lingyun Shou Lecturer

Bio: 

Educational Background

PhD, Applied Mathematics, Captial Normal University University (2022)

BA, Electronic Commerce, Zhejiang Gongshang University (2016)

Research

Research Interests

Compressible flows, kinetic equations, two-phase flows, partially dissipative hyperbolic systems.

Research Projects

  1. National Natural Science Foundation of China (12301275)
  2. China Postdoctoral Science Foundation (2023M741694)

Journal Articles

  1. L. Brandolese, L.-Y. Shou, J. Xu, P. Zhang, Sharp decay characterization for the compressible Navier-Stokes equations, Adv. Math. 456 (2024) 109905.
  2. T. Crin-Barat, L.-Y. Shou, E. Zuazua,  Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: Application to the nonlinearly damped p-system, Ann. Inst. H. Poincaré C Anal. Non Linéaire (2024) doi: 10.4171/AIHPC/128.
  3. H.-L. Li, L.-Y. Shou, Y. Zhang, Exponential stability of the inhomogeneous Navier-Stokes-Vlasov system in vacuum, Kinet. Relat. Models doi: 10.3934/krm.2024016.
  4. T. Crin-Barat. L.-Y. Shou, J. Tan, Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems, Nonlinearity 37 (2024) 075002.
  5. T. Crin-Barat, L.-Y. Shou, Diffusive relaxation limit of the multi-dimensional Jin-Xin system, J. Differential Equations 357 (2023) 302-331.
  6. T. Crin-Barat, Q. He, L.-Y. Shou, The hyperbolic-parabolic chemotaxis system for vasculogenesis: Global dynamics and relaxation limit toward a Keller-Segel model, SIAM J. Math. Anal. 55 (5) (2023) 4445-4492.
  7. H.-L. Li, L.-Y. Shou, Global existence and optimal time-decay rates of the compressible Navier-Stokes-Euler system, SIAM J. Math. Anal. 55 (3) (2023) 1810-1846.
  8. H.-L. Li, L.-Y. Shou, Global existence of weak solutions to the drift-flux system for general pressure laws, Sci. China Math. 66 (2) (2023) 251-284.
  9. H.-L. Li, L.-Y. Shou, Global weak solutions for compressible Navier-Stokes-Vlasov-Fokker-Planck system, Commun. Math. Res. 39 (1) (2023) 136-172.
  10. H.-L. Li, L.-Y. Shou, Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system, J. Differential Equations 280 (2021) 841-890.
  11. 李海梁, 寿凌云, 一维可压缩Navier-Stokes-Vlasov方程组的渐近行为，中国科学: 数学 51 (6) (2021) 985-1002.

Preprint

  1. T. Crin-Barat, Y.-J. Peng, L.-Y. Shou, J. Xu, A new characterization of the dissipation structure and the relaxation limit for the compressible Euler-Maxwell system, (2024) arXiv: 2407.00277
  2. J. Liu, L.-Y. Shou, J. Xu, The Boltzmann equation in the homogeneous critical regularity framework, (2024) arXiv: 2408.13610.
  3. M. Chi, L.-Y. Shou, J. Xu, The pressureless damped Euler-Riesz system in the critical regularity framework, (2024) arXiv: 2406.19955.
  4. Q. He, L.-Y. Shou, L. Wu, Global dynamics for the generalized chemotaxis-Navier-Stokes system in R^3, (2024) arXiv: 2407.04498.
  5. T. Crin-Barat, L.-Y. Shou, J. Zhang, Strong relaxation limit and uniform time asymptotic of the Jin-Xin model in the L^p framework, (2024) arXiv: 2311.04105.

Contact 

Email：shoulingyun_math@163.com, shoulingyun11@gmail.com