Existence of global smooth solution to the relativistic Euler equations

In this paper, we prove an existence theorem of global smooth solutions to the Cauchy problem for the one-dimensional relativistic Euler equations. The analysis is based on a priori estimates which are obtained by the characteristic method and maximum principle.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2005-03, Vol.60 (6), p.993-1001
Hauptverfasser:	Ruan, Lizhi, Zhu, Changjiang
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Global smooth solution Mathematical analysis Mathematics Maximum principle Partial differential equations Relativistic Euler equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we prove an existence theorem of global smooth solutions to the Cauchy problem for the one-dimensional relativistic Euler equations. The analysis is based on a priori estimates which are obtained by the characteristic method and maximum principle.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2004.09.019