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Stationary solutions to Smoluchowski's coagulation equation with source

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-02882692
Contributor : Philippe Laurençot <>
Submitted on : Saturday, June 27, 2020 - 11:44:54 AM
Last modification on : Tuesday, June 30, 2020 - 3:33:15 AM

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  • HAL Id : hal-02882692, version 1
  • ARXIV : 2006.15879

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Philippe Laurençot. Stationary solutions to Smoluchowski's coagulation equation with source. 2020. ⟨hal-02882692⟩

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