报告题目: Analysis aspect of tropical climate models

报告人:   牛冬娟 教授(首都师范大学)

报告摘要：

In this talk, I will primarily present the mathematical theory of TCM, which includes its well-posedness, large-time behavior, and nonlinear stability around the shear flows. Precisely, I first introduce the global well-posedness and large-time behavior of 2D TCM under smallness assumption of the initial data. To explore the intrinsic relationship between the first baroclinic mode of the velocity and temperature, we further investigate the stability around the steady-state solution and the optimal time decay rates for 3D TCM. The key points here are that we remove the smallness assumption on the lower-frequency part of the initial data and establish both the upper and lower bounds of the time decay rate. Finally, we prove the nonlinear stability around the Couette flow for 2D viscous TCM by virtue of the enhanced dissipation generated by the non-self-adjoint operator y\partial_x-\Delta.

报告人简介：牛冬娟，首都师范大学数学科学学院教授，博士生导师。主要研究不可压缩Navier-Stokes方程及相关流体模型解的适定性及渐近行为以及边界层问题等。曾多次受邀访问美国、中国香港、巴西、波兰等知名学府及科研机构并多次在国际重要学术会议上做邀请报告。在国际知名期刊SIAM Journal on Mathematical Analysis、Indiana Univ. Math. J.等发表20余篇学术论文。多次获得国家自然科学基金及北京市自然科学基金资助。

报告时间: 2026.5.11(周一) 上午 10:30-11:30

报告地点: 逸夫楼1537