数学

汤厚志

预审:费明稳 终审:陈树贤 发布时间:2025-04-03

汤厚志

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的偏微分方程理论方面研究。E-mail: houzhitang@ahnu.edu.cn

、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.国家自然科学基金青年科学基金项目(C类),本原方程组解的整体适定性和长时间行为,12501293,2026-01至2028-12。

2.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。

3.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。

4. 2022年度中国科学院特别研究助理资助项目。

五、代表论文

1. Stability and optimal decay for the 3D tropical climate model with damping, J. Differential Equations 475 (2026), Paper No. 114499, 41 pp. (with Robin Ming Chen, Dongjuan Niu, and Huiru Wu)

2. Global well-posedness and large-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction, J. Differential Equations 460 (2026), Paper No. 114111, 52 pp. (with Fucai Li, and Shuxing Zhang)

3. Global existence and large-time behavior of solutions to the pressureless Euler/Navier-Stokes system. Sci. China Math. 68 (2025), no. 11, 2629–2650. (with Hailiang Li and Yue Zhang)

4. 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)

5. 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)

6. Decay of the compressible Navier-Stokes equations with hyperbolic heat conduction, J. Differential Equations 388 (2024), 1-33. (with Shuxing Zhang, and Weiyuan Zou)

7. 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)

8. 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)

9. 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)

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