Diffusion models for mixtures using a stiff dissipative hyperbolic formalism

Laurent Boudin (1, 2) , Bérénice Grec (3) , Vincent Pavan (4)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 REO - Numerical simulation of biological flows
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
4 IUSTI - Institut universitaire des systèmes thermiques industriels

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.

Domains: Mathematics [math]; Analysis of PDEs [math.AP]

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⟩