Relaxation To Equilibrium in diffusive-thermal models with a stronghly varying diffusion length-scale
Résumé
We consider reaction-diffusion equations with a strongly varying diffusion length-scale. We provide a mathematical study of the relaxation towards the steady planar solution, in the context of infinitesimal disturbances whose wavelength is much shorter than the total thickness of the wave. The models under study are relevant in the description of ablation fronts encountered in inertial confinment fusion, when hydrodynamical effects are neglected.