DYNAMICS OF RELATIVISTIC FLUID FOR COMPRESSIBLE GAS |
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| Authors: | Yipeng Shi Qiyan Shi |
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| Institution: | Yipeng Shi (State Key Laboratory for Turbulence and Complex Systems,College of Engineering,Peking University,Beijing 100871) Qiyan Shi (Dept.of Math.,Fuzhou University,Fuzhou 350108) |
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| Abstract: | In this paper the relativistic fluid dynamics for compressible gas is studied.We show that the strict convexity of the negative thermodynamical entropy preserves invariant under the Lorentz transformation if and only if the local speed of sound in this gas is strictly less than that of light in the vacuum.A symmetric form for the equations of relativistic hydrodynamics is presented,and thus the local classical solutions to these equations can be deduced.At last,the non-relativistic limits of these local cla... |
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| Keywords: | relativistic fluid dynamics hyperbolic conservation law convex entropy |
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