非粘性Boussinesq方程的爆破准则

Blow-up Criterion for the Inviscid Boussinesq Equations

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.

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.