Shunlin Shen

Shunlin Shen

Assistant Professor, School of Mathematical Sciences, University of Science and Technology of China

Publications

Publications and Preprints

  1. Shunlin Shen, The rigorous derivation of the $\mathbb{T}^{2}$ focusing cubic NLS from 3D, Journal of Functional Analysis, 280(8):108934, 72pp, 2021. DOI

  2. Xuwen Chen, Shunlin Shen, and Zhifei Zhang, The unconditional uniqueness for the energy-supercritical NLS, Annals of PDE, 8, Article 14, 82pp, 2022. DOI

  3. Xuwen Chen, Shunlin Shen, Jiahao Wu, and Zhifei Zhang, The derivation of the compressible Euler equation from quantum many-body dynamics, Peking Mathematical Journal, 7(1):35-90, 56pp, 2024. DOI

  4. Xuwen Chen, Shunlin Shen, and Zhifei Zhang, Quantitative derivation of the Euler-Poisson equation from quantum many-body dynamics, Peking Mathematical Journal, 7(2):643-711, 69pp, 2024. DOI

  5. Xuwen Chen, Shunlin Shen, and Zhifei Zhang, On the mean-field and semiclassical limit from quantum N-body dynamics, arXiv:2304.03447, 40pp, 2023. arXiv

  6. Xuwen Chen, Shunlin Shen, and Zhifei Zhang, Well/Ill-posedness of the Boltzmann equation with soft potential, Communications in Mathematical Physics, Article 283, 1-51, 51pp, 2024. DOI

  7. Xuwen Chen, Shunlin Shen, and Zhifei Zhang, Sharp global well-posedness and scattering of the Boltzmann equation, arXiv 2311.02008, 42pp, 2023. arXiv

  8. Shunlin Shen and Jiahao Wu, Quantum mean-field limit to the compressible fluids, To appear in Frontiers of Mathematics, 32pp, 2024.

  9. Xuwen Chen, Shunlin Shen, Ping Zhang, and Zhifei Zhang, Global derivation of the 1D Vlasov-Poisson equation from quantum many-body dynamics with screened Coulomb potential, arXiv 2408.14767, 46pp, 2024. arXiv

  10. Jacky Chong, Shunlin Shen, and Zhifei Zhang, Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime, arXiv2409.14812, 95pp, 2024. arXiv