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Strong solutions to the inhomogeneous Navier–Stokes–BGK system
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-07-23 , DOI: 10.1016/j.nonrwa.2020.103196
Young-Pil Choi , Jaeseung Lee , Seok-Bae Yun

In this paper, we are concerned with the local-in-time well-posedness of a fluid-kinetic model in which the BGK model with density dependent collision frequency is coupled with the inhomogeneous Navier–Stokes equation through drag forces. To the best knowledge of authors, this is the first result on the existence of local-in-time smooth solution for particle–fluid model with nonlinear inter-particle operator for which the existence of time can be prolonged as the size of initial data gets smaller.



中文翻译:

非均匀Navier–Stokes–BGK系统的强大解决方案

在本文中,我们关注的是流体动力学模型的实时适时性,在该模型中,具有依赖于密度的碰撞频率的BGK模型通过阻力与不均匀的Navier-Stokes方程耦合。据作者所知,这是存在带有非线性粒子间算子的粒子-流体模型的实时局部光滑解的第一个结果,随着初始数据量的增加,时间的存在可以延长较小。

更新日期:2020-07-23
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