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Journal Articles Journal of Hyperbolic Differential Equations Year : 2019

Diffusion models for mixtures using a stiff dissipative hyperbolic formalism

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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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Dates and versions

hal-01786824 , version 1 (14-05-2018)
hal-01786824 , version 2 (07-11-2022)

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Cite

Laurent Boudin, Bérénice Grec, Vincent Pavan. Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Journal of Hyperbolic Differential Equations, 2019, 16 (2), pp.293--312. ⟨10.1142/S0219891619500115⟩. ⟨hal-01786824v2⟩
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