Abstract

Causal description of the non-relativistic dissipative fluid dynamics is developed. The basic idea is to include the finite upper velocity limit into the consideration. This limit velocity is interpreted as a speed of a signal carrying information about the state of the fluid to an observer. The presence of the limit velocity allows derivation of the causal fluid mechanics equations as well as an evolution equation for the signal velocity in the moving continuum. The existence of a solution of the equations obtained and its exponential decay to a certain equilibrium state is demonstrated. Contrary to the existing causal theories, the current approach does not require introduction of the phenomenological parameters in addition to the classical ones.

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