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Journal Article

Incompressible ionized non-Newtonean fluid mixtures

Roubíček Tomáš

: SIAM Journal on Mathematical Analysis vol.39, 3 (2007), p. 863-890

: CEZ:AV0Z10750506

: GA201/06/0352, GA ČR

: chemically reacting fluids, Eckart-Prigogine concept, Navier-Stokes equation, Nernst-Planck equation, Poisson equation, heat equation

(eng): The model combining Navier-Stokes' equation in a non-Newtonean p-power-law modification 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, existence of its (very) weak solutions is proved for p>11/5, and its thermodynamics is discussed.

(cze): Model kombinující Navierovi-Stokesovi rovnice v ne-newtonoské modifikaci pro tezistovou rychlost s Nernstovými-Planckovými rovnicemi pro koncentrace jednotlivých složek chemicky reagujících, rovnici vedeni tepla, a Poissonovu rovnici pro samobuzené elektrostatické pole je formulován a dokázána existence jeho řešení.

: BA