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Diffusion models for mixtures using a stiff dissipative hyperbolic formalism

Abstract : In this article, we are interested in a system of fluid equations for mixtures with a stiff relaxation term of Maxwell-Stefan diffusion type. We use the formalism developed by Chen, Levermore, Liu in [4] to obtain a limit system of Fick type where the species velocities tend to align to a bulk velocity when the relaxation parameter remains small.
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Submitted on : Monday, May 14, 2018 - 11:31:55 AM
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Laurent Boudin, Bérénice Grec, Vincent Pavan. Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2019, 16 (2), pp.293--312. ⟨10.1142/S0219891619500115⟩. ⟨hal-01786824⟩

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