CONSTRUCTING THE LAGRANGIAN IN THE EULERIAN COORDINATE FOR RELATIVISTIC HYDRODYNAMICS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39274

Title:	CONSTRUCTING THE LAGRANGIAN IN THE EULERIAN COORDINATE FOR RELATIVISTIC HYDRODYNAMICS
Authors:	CHIUEH,T
Contributors:	物理研究所
Keywords:	SHOCKS
Date:	1994
Issue Date:	2010-07-08 14:10:32 (UTC+8)
Publisher:	中央大學
Abstract:	The Lorentz-covariant Lagrangian for an ideal relativistic flow is constructed in the Eulerian coordinate. In contrast to the Lagrangian of nonrelativistic flows in the Eulerian formulation, for which the continuity equation is required to be externally imposed as a constraint [Mittag, Stephen, and Yourgrau, in Variational Principles in Dynamics and Quantum Theory, edited by W. Yourgrau and X. Mandelstam (Dover, New York, 1968)), this Lorentz-covariant Lagrangian automatically yields the continuity equation as well as the equation of state. In addition, the relativistic generalization of the Bernoulli equation can also be derived from the present formulation.
Relation:	PHYSICAL REVIEW E
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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