Exponential relaxation to self-similarity for the superquadratic fragmentation equation

Pierre Gabriel (1) , Francesco Salvarani (2)

1 LMV - Laboratoire de Mathématiques de Versailles
2 Dipartimento di matematica F. Casorati

We consider the self-similar fragmentation equation with a superquadratic fragmentation rate and provide a quantitative estimate of the spectral gap.

Mots clés: self-similarity; fragmentation equation; exponential convergence; long-time behavior; spectral gap

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Gabriel, Francesco Salvarani. Exponential relaxation to self-similarity for the superquadratic fragmentation equation. Applied Mathematics Letters, 2014, 27, pp.74-78. ⟨10.1016/j.aml.2013.08.001⟩. ⟨hal-00860231v4⟩