This paper is concerned with the Navier-Stokes limit of a class of globally hyperbolic moment equations from the Boltzmann equation. we show that the Navier-Stokes equations can be formally derived from the hyperbolic moment equations for various different collision mechanisms. Furthermore, the formal limit is justified rigorously by using an energy method. It should be noted that the hyperbolic moment equations are in non-conservative form and do not have a convex entropy function, therefore some additional efforts are required in the justification.

中文翻译：

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整体双曲矩方程的Navier-Stokes极限

本文涉及玻尔兹曼方程中一类全局双曲矩方程的Navier-Stokes极限。我们表明，对于各种不同的碰撞机理，Navier-Stokes方程可以从双曲矩方程正式导出。此外，通过使用能量方法严格限制了形式极限。应该注意的是，双曲矩方程是非保守形式的，不具有凸熵函数，因此在证明时还需要做一些额外的努力。