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On the derivation of linearized hydrodynamics from kinetic theory

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  • Theodosopulu, M.
  • Grecos, A.P.

Abstract

The relation of the linearized hydrodynamic equations to kinetic theory is discussed. We show that the theory of subdynamics provides a general framework for their derivation. This theory and the related transformation theory permit the construction of a Lyapounov functional that for the hydrodynamical processes, considered here, becomes the macroscopic entropy as given by Gibbs relation.

Suggested Citation

  • Theodosopulu, M. & Grecos, A.P., 1979. "On the derivation of linearized hydrodynamics from kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(1), pages 35-68.
    • Handle: RePEc:eee:phsmap:v:95:y:1979:i:1:p:35-68
    DOI: 10.1016/0378-4371(79)90043-8
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    References listed on IDEAS

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    1. Theodosopulu, M. & Résibois, P., 1976. "Kinetic approach to the long-time behaviour in fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(1), pages 47-71.
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