Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : The coagulation-fragmentation equation describes the concentration $f_i(t)$ of particles of size $i \in N / \{0\}$ at time $t\geq 0$, in a spatially homogeneous infinite system of particles subjected to coalescence and break-up. We show that when the rate of fragmentation is sufficiently stronger than that of coalescence, $(f_i(t))_{i \in N / \{0\}}$ tends to an unique equilibrium as $t$ tends to infinity. Although we suppose that the initial datum is sufficiently small, we do not assume a detailed balance (or reversibility) condition. The rate of convergence we obtain is exponential.
 
 
TREND TO EQUILIBRIUM FOR DISCRETE COAGULATION EQUATIONS WITH STRONG FRAGMENTATION AND WITHOUT BALANCE CONDITION
FOURNIER Nicolas, MISCHLER St├ęphane
2003-29
18-09-2003
 
Université de PARIS - DAUPHINE
Place du Maréchal de Lattre De Tassigny - 75775 PARIS CEDEX 16 - FRANCE
Téléphone : +33 (0)1 44-05-49-23 - fax : +33 (0)1 44-05-45-99