Self-similar solutions to the Oort-Hulst-Safronov coagulation equation

Véronique Bagland (1) , Philippe Laurençot (2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 IMT - Institut de Mathématiques de Toulouse UMR5219

The existence of self-similar solutions with a finite first moment is established for the Oort-Hulst-Safronov coagulation equation for some coagulation kernel. The corresponding self-similar profiles are compactly supported and have a discontinuity at the edge of their support.

Mots clés: coagulation equation; Oort–Hulst–Safronov model; self-similar solution; compact support

Domaines: Equations aux dérivées partielles [math.AP]

Véronique Bagland, Philippe Laurençot. Self-similar solutions to the Oort-Hulst-Safronov coagulation equation. SIAM Journal on Mathematical Analysis, 2007, 39 (2), pp.345-378. ⟨10.1137/060658333⟩. ⟨hal-00494532⟩