Relativistic equations for the generalized Chapman-Enskog hierarchy
2016
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.
Keywords:
- Stochastic partial differential equation
- Examples of differential equations
- Mathematics
- Mathematical analysis
- Separable partial differential equation
- Differential algebraic geometry
- Method of characteristics
- Differential algebraic equation
- Numerical partial differential equations
- Differential equation
- Independent equation
- Mathematical physics
- First-order partial differential equation
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