Soliton solutions and their stability for the flow of relativistic fluids through channels |
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| Authors: | I Lerche P J Wiita |
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| Institution: | (1) Enrico Fermi Institute and Dept of Physics, University of Chicago, Illinois, U.S.A.;(2) Astronomy and Astrophysics Center, University of Chicago, Illinois, U.S.A.;(3) Present address: Division of Radiophysics, CSIRO, P.O. Box 76, 2121 Epping, N.S.W., Australia;(4) Present address: Department of Astronomy and Astrophysics, University of Pennsylvania, 19104 Philadelphia, PA, U.S.A. |
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| Abstract: | We analyze the flow of a perfect relativistic fluid in a confining channel of variable cross-section — a situation that is relevant for models of radio galaxies. Families of soliton-like solutions are found and their topologies described. However, a perturbative investigation of these solutions indicates that all such soliton modes are unstable, and would eventually decay. |
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