For Riemann initial data, solutions of scaled generalized Euler equations converge distributionally to the 1D large-scale structure formation model as the scaling parameter vanishes, with entropy admissibility shown for the Brio system.
Oberguggenberger, Case study of a nonlinear, noncon servative, nonstrictly hyperbolic system, Nonlinear Anal
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Limiting behavior of scaled general Euler equations of compressible fluid flow
For Riemann initial data, solutions of scaled generalized Euler equations converge distributionally to the 1D large-scale structure formation model as the scaling parameter vanishes, with entropy admissibility shown for the Brio system.