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Incompressible ionized fluid mixtures

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Abstract

The model-combining Navier-Stokes equation for barycentric velocity together with Nernst-Planck's equation for concentrations of particular mutually reacting constituents, the heat equation, and the Poisson equation for self-induced quasistatic electric field is formulated and its thermodynamics is discussed. Then, existence of a weak solution to an initial-boundary-value problem for this system is proved in two special cases: zero Reynolds' number and constant temperature.

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Authors and Affiliations

  1. Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Prague, Czech Republic

    Tomáš Roubíček

  2. Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou věží 4, CZ-182 08 Praha 8, Prague, Czech Republic

    Tomáš Roubíček

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  1. Tomáš Roubíček
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Correspondence to Tomáš Roubíček.

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Communicated by S. L. Gavrilyuk

Mathematics Subject Classification (2000) 35Q35 · 76T30 · 80A32

Physics and Astronomy Classification Scheme (2001) 47.27Ak ⋅ 47.70Fw

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Roubíček, T. Incompressible ionized fluid mixtures. Continuum Mech. Thermodyn. 17, 493–509 (2006). https://doi.org/10.1007/s00161-006-0010-0

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