WELL-POSEDNESS OF THE COAGULATION-FRAGMENTATION EQUATION WITH SIZE DIFFUSION

Philippe Laurençot (1) , Christoph Walker (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Institut fur angewandte mathematik, Leibniz Universitat Hannover

Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted $L^1$-spaces.

Mots clés: coagulation-fragmentation; size diffusion; well-posedness; semigroup; global existence

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Laurençot, Christoph Walker. WELL-POSEDNESS OF THE COAGULATION-FRAGMENTATION EQUATION WITH SIZE DIFFUSION. Differential and integral equations, 2022, 35 (3-4), pp.211--240. ⟨hal-03381379⟩