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Stability and Causality in relativistic dissipative hydrodynamics
Published 19 Jul 2008 in hep-ph, nucl-th, and physics.flu-dyn | (0807.3120v1)
Abstract: The stability and causality of the Landau-Lifshitz theory and the Israel-Stewart type causal dissipative hydrodynamics are discussed. We show that the problem of acausality and instability are correlated in relativistic dissipative hydrodynamics and instability is induced by acausality. We further discuss the stability of the scaling solution. The scaling solution of the causal dissipative hydrodynamics can be unstable against inhomogeneous perturbations.
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