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李悦
职 称：讲师
办公室：长清湖校区文渊楼B515
邮 箱：liyue2011008@163.com
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。
研究方向
非线性偏微分方程
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.
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