Stationary solutions to Smoluchowski's coagulation equation with source

Philippe Laurençot (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

Existence and non-existence of integrable stationary solutions to Smoluchowski's coagulation equation with source are investigated when the source term is integrable with an arbitrary support in (0, ∞). Besides algebraic upper and lower bounds, a monotonicity condition is required for the coagulation kernel. Connections between integrability properties of the source and the corresponding stationary solutions are also studied.

Mots clés: coagulation equation; source term; stationary solution; non-existence

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Laurençot. Stationary solutions to Smoluchowski's coagulation equation with source. North-Western European Journal of Mathematics, 2020, 6, pp.137--164. ⟨hal-02882692⟩