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科学研究
RESEARCH
Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain
时间  Datetime
2020-12-30 15:45 — 17:15
地点  Venue
教室(813)
报告人  Speaker
尚朝阳
单位  Affiliation
上海立信会计金融学院
邀请人  Host
朱圣国
备注  remarks
报告摘要  Abstract

In this talk, we consider the initial boundary value problem of two-dimensional
isentropic compressible Boussinesq equations with constant viscosity and thermal
diffusivity in a square domain. Based on the time-independent lower-order and
time-dependent higher-order a priori estimates, we prove that the classical solution
exists globally in time provided the initial mass of the fluid is small. Here, we
have no small requirements for the initial velocity and temperature.