Shock propagation and stability in causal dissipative hydrodynamics

Abstract

We studied the shock propagation and its stability with the causal dissipative hydrodynamics in 1+1 dimensional systems. We show that the presence of the usual viscosity is not enough to stabilize the solution. This problem is solved by introducing an additional viscosity which is related to the coarse-graining scale of the theory.

14 pages, 16 figures

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• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
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• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
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• Coarse graining scale and effectiveness of hydrodynamic modeling
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• Bulk viscosity effects on elliptic flow
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• Steady asymptotic equilibria in conformal relativistic fluids
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• Stability of 1+1 dimensional causal relativistic viscous hydrodynamics
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