Multi-dimensional simple waves in fully relativistic fluids
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Publication:3561020
DOI10.1088/1751-8113/43/16/165501zbMATH Open1278.76133arXiv0811.2307OpenAlexW3102676476MaRDI QIDQ3561020
Author name not available (Why is that?)
Publication date: 17 May 2010
Published in: (Search for Journal in Brave)
Abstract: A special version of multi--dimensional simple waves given in [G. Boillat, {it J. Math. Phys.} {�f 11}, 1482-3 (1970)] and [G.M. Webb, R. Ratkiewicz, M. Brio and G.P. Zank, {it J. Plasma Phys.} {�f 59}, 417-460 (1998)] is employed for fully relativistic fluid and plasma flows. Three essential modes: vortex, entropy and sound modes are derived where each of them is different from its nonrelativistic analogue. Vortex and entropy modes are formally solved in both the laboratory frame and the wave frame (co-moving with the wave front) while the sound mode is formally solved only in the wave frame at ultra-relativistic temperatures. In addition, the surface which is the boundary between the permitted and forbidden regions of the solution is introduced and determined. Finally a symmetry analysis is performed for the vortex mode equation up to both point and contact transformations. Fundamental invariants and a form of general solutions of point transformations along with some specific examples are also derived.
Full work available at URL: https://arxiv.org/abs/0811.2307
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