The shock wave problem revisited: the Navier–Stokes equations and Brenner's two velocity hydrodynamics

FJ Uribe - Coping with Complexity: Model Reduction and Data …, 2010 - Springer
Coping with Complexity: Model Reduction and Data Analysis, 2010Springer
The problem ofplane shock waves indilute gases is considered. Its importance relies upon
the fact that is an example in which theNavier–Stokes equations have been shown to be
susceptible of improvement. Several alternatives to these equations are briefly mentioned in
order to give an idea of the importance that the problem of extending the Navier–Stokes
equations has these days. We focus our attention on the recent proposal of extension of the
Navier–Stokes equations given by Brenner. Our analysis considers the stationary case for …
Abstract
The problem ofplane shock waves indilute gases is considered. Its importance relies upon the fact that is an example in which theNavier–Stokes equations have been shown to be susceptible of improvement. Several alternatives to these equations are briefly mentioned in order to give an idea of the importance that the problem of extending the Navier–Stokes equations has these days. We focus our attention on the recent proposal of extension of the Navier–Stokes equations given by Brenner. Our analysis considers the stationary case for the shock wave problem and we compare it with a recent non-stationary analysis.
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