Mass-conserving self-similar solutions to coagulation-fragmentation equations

Philippe Laurençot (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. The proof combines a dynamical approach to construct such solutions for a regularised coagulation-fragmentation equation in scaling variables and a compactness method.

Mots clés: Coagulation; fragmentation; mass conservation; self-similarity

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Laurençot. Mass-conserving self-similar solutions to coagulation-fragmentation equations. Communications in Partial Differential Equations, 2019, 44 (9), pp.773--800. ⟨10.1080/03605302.2019.1603238⟩. ⟨hal-02014423⟩