The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case

The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case

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

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Veröffentlicht in:Archive for rational mechanics and analysis 2016-02, Vol.219 (2), p.701-718
Hauptverfasser: Colombo, Rinaldo M., Guerra, Graziano, Schleper, Veronika
Format: Artikel
Sprache:eng
Schlagworte:
Archives
Classical Mechanics
Complex Systems
Compressibility
Convergence
Entropy
Euler equations
Euler-Lagrange equation
Eulers equations
Fluid- and Aerodynamics
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Beschreibung
Zusammenfassung:We prove a rigorous convergence result for the compressible to incompressible limit of weak entropy solutions to the isothermal one dimensional Euler equations.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-015-0904-8