On the stability threshold for 3D Boussinesq equations with rotation near Couette flow and stratified temperature
来源:
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发布时间:2026-06-16
报告时间:
2026年6月18日 (周四)下午15:00-16:00
报告地点:
国交2号楼201会议室
报告人:
许孝精
报告人单位:
北京师范大学
邀请人:
刘双乾
摘要:
In this talk, I shall first introduce some results on the nonlinear stability for the incompressible rotating fluids in T×R×T near the Couette flow, by precisely quantifying the stability threshold at high Reynolds number. Then we emphatically show the stability results on the rotating Boussinesq equations, we analyze the coupled system of the Couette flow and a stable temperature stratification 1+az (a>0). Nonlinear stability is also constructed, showing that the solutions do not transition away from the steady state, provided the initial perturbations of size O(\nu^{14/15}) . This talk is based on joint work with Wenting Huang (BNU), Zekai Luo (BNU) and Ying Sun (BUPT).