李悦
职 称:讲师
办公室:长清湖校区文渊楼B515
邮 箱:liyue2011008@163.com
研究方向:非线性偏微分方程
个人简介
李悦,女,1993年生,2023年于南京大学获得博士学位,自2021年7月至2022年8月在德国University of Mannheim访问一年。博士毕业后,自2023年7月至2024年7月在奥地利Vienna University of Technology从事博士后研究工作。主要研究方向为生物数学模型、两相流模型解的适定性分析及平均场理论,目前已在Journal of Differential Equations、Journal of Statistical Physics和Discrete and Continuous Dynamical Systems等国际重要学术期刊发表学术论文10余篇。
研究兴趣
生物数学模型、两相流模型解的适定性分析及平均场理论
开设课程
线性代数
代表性成果
1. Li Chen, Veniamin Gvozdik and Yue Li, Rigorous derivation of the degenerate parabolic-elliptic Keller-Segel system from a moderately interacting stochastic particle system. Part I Partial differential equation, Journal of Differential Equations, 375 (2023) 567–617.
2. Li Chen, Jinyeop Lee, Yue Li and Matthew Liew, A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation, Journal of Statistical Physics, (2023) 190:109.
3. Ansgar Jüngel and Yue Li, Existence of global weak solutions to a Cahn-Hilliard cross-diffusion system in lymphangiogenesis, Discrete and Continuous Dynamical Systems, 45 (2024) 286-308.
4. Fucai Li, Yue Li and Baoyan Sun, Global weak solutions to a three-dimensional quantum kinetic-fluid model, Acta Mathematica Scientia. Series B. English Edition, 43 (2023) 2089–2107.
5. Yue Li and Baoyan Sun, Global weak solutions to a quantum kinetic-fluid model with large initial data, Nonlinear Analysis: Real Word Applications, 71 (2023) 103822.
6. Li Chen, Yue Li and Nicola Zamponi, Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain, Nonlinear Analysis, 232 (2023) 113257.
7. Li Chen, Fucai Li, Yue Li and Nicola Zamponi, Global weak solutions to the Vlasov- Poisson-Fokker-Planck-Navier-Stokes system, Mathematical Methods in the Applied Sciences, 46 (2022) 2729-2745.
8. Yue Li, Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system with nonhomogeneous boundary data, Zeitschrift für Angewandte Mathematik und Physik, 72 (2021) Paper No. 51, 29 pp.
9. Fucai Li and Yue Li, Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain, Communications on Pure and Applied Analysis, 20 (2021) 3583–3604.