The Compressible to Incompressible Limit of 1D Euler Equations: the Non Smooth Case

2013/08/19 by Rinaldo M. Colombo, Colombo, Rinaldo M., Graziano Guerra +3
Mathematics · Physics and Astronomy · #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.1308.4109

Abstract

We prove a rigorous convergence result for the compressible to incompressible limit of weak entropy solutions to the isothermal 1D Euler equations.

Citations

• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

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• Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations