Hydrodynamics in an external field

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Abstract

The methods of statistical dynamics are applied to a fluid with 5 conserved fields (the mass, the energy, and three components of momentum) moving in a given external field. When the field is zero, we recover a previously derived system of parabolic partial differential equations, called ‘corrections to fluid dynamics’.

References (25)

  • R. Balescu
    (1997)
  • R. Balian et al.
  • C. Beck et al.

    Physica A

    (1990)
  • P. Biler et al.

    Long-time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems

    Ann. H. Poincaré

    (2000)
  • P. Biler, J. Dolbeault, M. J. Esteban, P. A. Markovich and T. Nadzieja: Steady states for Streater's energy-transport...
  • P. Biler et al.

    Advances in Diff. Eq.

    (2001)
  • P. Biler et al.

    Math. Methods in the Applied Sciences

    (1997)
  • P. Biler et al.

    Rep. Math. Phys.

    (1988)
  • R. Dobrushin
  • R.S. Ingarden

    Bull. acad. polon. sci., Ser. math.-astro.-phys.

    (1963)
  • R.S. Ingarden et al.

    Tensor

    (1979)
  • E.T. Jaynes

    Phys. Rev.

    (1957)
    E.T. Jaynes

    Phys. Rev.

    (1957)

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