论文信息 - Relaxation To Equilibrium in diffusive-thermal models with a stronghly varying diffusion length-scale

Relaxation To Equilibrium in diffusive-thermal models with a stronghly varying diffusion length-scale

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.

J. Roquejoffre | P. Clavin | L. Masse

[1] B. Helffer,et al. The Semiclassical Regime for Ablation Front Models , 2007 .

[2] P. Clavin,et al. The linear Darrieus-Landau and Rayleigh-Taylor instabilities in inertial confinement fusion revisited , 2006 .

[3] Luca Rossi,et al. On the principal eigenvalue of elliptic operators in $\R^N$ and applications , 2006 .

[4] P. Clavin,et al. Instabilities of ablation fronts in inertial confinement fusion: A comparison with flames , 2004 .

[5] J. Roquejoffre,et al. Bifurcations of travelling waves in the thermo-diffusive model for flame propagation , 1996 .

[6] L. Caffarelli,et al. C1,α regularity of the free boundary for the N-dimensional porous media equation , 1990 .

[7] A. Friedman,et al. Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium , 1979 .

[8] Paul Clavin,et al. Dynamics of combustion fronts in premixed gases: From flames to detonations , 2000 .