非粘性Boussinesq方程的爆破准则
Blow-up Criterion for the Inviscid Boussinesq Equations
谢鸣凤1
作者信息
- 1. 南京财经大学红山学院,南京 210003
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摘要
为了改进非粘性Boussinesq方程在Besov-Morrey空间上的爆破准则,利用粒子轨道映射和Gronwall不等式,建立了非粘性Boussinesq方程在Besov-Morrey空间上新的爆破准则.研究表明:新的爆破准则仅与涡度有关,与温度无关.
Abstract
In order to improve the blow-up criterion of the inviscid Boussinesq equations in Besov-Morrey spaces,a new blow-up criterion for inviscid Boussinesq equations in Besov-Morrey spaces is established by using particle orbit mapping and Gronwall inequality.The results show that the new blow-up criterion is only related to vorticity and not to temperature.
关键词
非粘性Boussinesq方程/Besov-Morrey空间/爆破准则/涡度Key words
inviscid Boussinesq equations/Besov-Morrey spaces/Blow-up criterion/vorticity引用本文复制引用
出版年
2024
NETL
NSTL
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