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On the Ultra Relativistic Euler Equations
Author(s) -
Abdelrahman Mahmoud,
Kunik Matthias,
Warnecke Gerald
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210287
Subject(s) - uniqueness , euler equations , shock (circulatory) , isentropic process , limit (mathematics) , equation of state , euler's formula , physics , relativistic particle , state (computer science) , mathematical physics , mathematics , classical mechanics , mathematical analysis , mechanics , quantum mechanics , electron , medicine , algorithm
We consider the relativistic Euler equations in isentropic fluids with the equation of state $p = {\rho \over 3}$ , which is the ultra‐relativistic limit. We analyze the single shocks. We study the shock interaction, and give explicit example for the non‐backward uniqueness. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)