Diffusion models for mixtures using a stiff dissipative hyperbolic formalism
Laurent Boudin, Bérénice Grec, Vincent Pavan · Journal of Hyperbolic Differential Equations · 2019
We consider a system of fluid equations for mixtures with a stiff relaxation term of Maxwell–Stefan diffusion type. We use the formalism developed by Chen et al. and derive a limiting system of Fick type, in which the species velocities tend to align with a bulk velocity when the relaxation parameter remains small.