Hidden asymptotics for the weak solutions of the strongly stratified Boussinesq system without rotation
数学专题报告
报告题目(Title)：Hidden asymptotics for the weak solutions of the strongly stratified Boussinesq system without rotation
报告人(Speaker)：Prof. Frederic Charve (Université Paris-Est, France)
地点(Place)：Zoom ID: 892 253 81295 Password: 123456
时间(Time)：2026年1月20日（周二）16:00-17:00
邀请人(Inviter)：薛留堂
报告摘要
It is known that when the Froude number goes to zero, the solutions of the strongly stratified Boussinesq system tend towards those of a 3D-Navier-Stokes-type system (but with only two components). Surprisingly, this limit system does not depend on the thermal diffusivity ν' > 0. In this talk we explain how to modify the initial data in order to obtain a limit system that really depends on ν'.
We will first present the system, then formally obtain a general limit system that we will validate by choosing unconventional initial data. This limit induces a structure that will enable us to separate the solutions of the initial system into two parts, which we will study separately. The convergence will require new Strichartz estimates.
