论文标题
在天体物理学中产生的流体动力学模型的爆炸标准
Blow up criteria for a fluid dynamical model arising in astrophysics
论文作者
论文摘要
在本文中，我们处理了局部强溶液的存在，用于完美可压缩的粘性流体，热导电和自我引力，并与天体物理流体动力学模型中使用的一阶动力学结合。在我们的环境中，允许真空，作为存在结果的副产品，我们获得了局部强解决方案的爆炸标准。此外，我们证明，根据速度梯度，质量分数梯度和与众所周知的Beale-Kato-Kato-Majda标准相似的局部强溶液的爆炸标准，用于理想不可压缩流。
In this paper we deal with the existence of local strong solution for a perfect compressible viscous fluid, heat conductive and self gravitating, coupled with a first order kinetics used in astrophysical hydrodynamical models. In our setting the vacuum is allowed and as a byproduct of the existence result we get a blow-up criterion for the local strong solution. Moreover we prove a blow-up criterion for the local strong solutions in terms of the velocity gradient, the mass fraction gradient and the temperature similar to the well known Beale-Kato-Majda criterion for ideal incompressible flows.
