Relativistic equations for the generalized Chapman-Enskog hierarchy

2016/05/15 by Hans Wilhelm Alt, Alt, Hans Wilhelm
Computer Science · Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #Computational Physics and Python Applications #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks

paper · pdf · doi:10.48550/arxiv.1605.04573

openalex publication_date 2016/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

From the Boltzmann equation Chapman and Cowling have firstly motivated a hierarchy of differential equations. I consider a general version of these differential equations which contain the Navier-Stokes system. In the paper I derive a relativistic version of these partial differential equations. This is interesting because in the derivation a covariant version of a time direction is used. This time direction is needed to derive a reduction of the differential equations.

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