一、个人简介
汤厚志,安徽安庆人,讲师,硕士生导师。2022年博士毕业于首都师范大学(导师:李海梁),2022年7月至2024年6月在中国科学院数学与系统科学研究院从事博士后研究(导师:黄飞敏)。曾应邀访问香港中文大学、英国莱斯特大学等。目前主要从事可压缩Navier-Stokes方程解的存在性以及大时间行为等偏微分方程理论方面研究。E-mail: houzhitang@ahnu.edu.cn
二、工作经历
2022.7-2024.6 中国科学院数学与系统科学研究院, 博士后
2024.7-至今 安徽师范大学, 数学与统计学院, 讲师
三、讲授课程
高等数学、数学分析等
四、主持项目
1.安徽省自然科学基金青年基金,两相流模型解的整体适定性和大时间行为,2408085QA031,2024-09至2026-08。
2.中国博士后科学基金会博士后面上资助, 带自由边界的大气海洋原始方程组的整体适定性和大时间行为, 2023M733691,2023-07至2024-06。
3. 2022年度中国科学院特别研究助理资助项目。
五、代表论文
1. Global existence and large-time behavior of solutions to the pressureless Euler/Navier-Stokes system. To appear in Sci China Math. (with Hailiang Li and Yue Zhang)
2. Global well-posedness and stability of classical solutions to the pressureless Navier-Stokes system in 3D, J. Differential Equations 422 (2025), 696-716. (with Boling Guo and Bin Zhao)
3. Global well-posedness and large-time behavior of classical solutions to the Euler-Navier-Stokes system in R^3, J. Differential Equations 410 (2024), 76-112. (with Feimin Huang, Guochun Wu, and Weiyuan Zou)
4. Decay of the compressible Navier-Stokes equations with hyperbolic heat conduction, J. Differential Equations 388 (2024), 1-33. (with Shuxing Zhang, and Weiyuan Zou)
5. Global well-posedness and large-time behavior of the pressureless two-phase flow system in R^3 (in Chinese). Sci Sin Math, 2024, 54: 1–18, doi: 10.1360/SCM-2023-0413. (with Boling Guo, and Bin Zhao)
6. Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system, J. Differential Equations 334 (2022), 157-193. (with Yazhou Chen, and Hailiang Li)
7. Pointwise estimates of the solution to one dimensional compressible Naiver-Stokes equations in half space, Discrete Contin. Dyn. Syst. 42 (2022), 2603-2636. (with Hailiang Li, and Haitao Wang)