The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation kernel is close to the diagonal kernel, and that the fragmentation kernel is diagonal. In a companion paper we constructed a two-parameter family of stationary solutions concentrated in Dirac masses, and we carefully studied the asymptotic decay of the tails of these solutions, showing that this behaviour is stable. In this paper we prove that for initial data which are sufficiently concentrated, the corresponding solutions approach one of these stationary solutions for large times. © 2020 L’Association Publications de l’Institut Henri Poincaré. Published by Elsevier B.V. All rights reserved

Solutions with peaks for a coagulation-fragmentation equation: Part II: Aggregation in peaks / Bonacini, M.; Niethammer, B.; Velazquez, J. J. L.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 38:3(2021), pp. 601-646. [10.1016/j.anihpc.2020.08.007]

Solutions with peaks for a coagulation-fragmentation equation: Part II: Aggregation in peaks

Bonacini M.;
2021-01-01

Abstract

The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation kernel is close to the diagonal kernel, and that the fragmentation kernel is diagonal. In a companion paper we constructed a two-parameter family of stationary solutions concentrated in Dirac masses, and we carefully studied the asymptotic decay of the tails of these solutions, showing that this behaviour is stable. In this paper we prove that for initial data which are sufficiently concentrated, the corresponding solutions approach one of these stationary solutions for large times. © 2020 L’Association Publications de l’Institut Henri Poincaré. Published by Elsevier B.V. All rights reserved
2021
3
Bonacini, M.; Niethammer, B.; Velazquez, J. J. L.
Solutions with peaks for a coagulation-fragmentation equation: Part II: Aggregation in peaks / Bonacini, M.; Niethammer, B.; Velazquez, J. J. L.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 38:3(2021), pp. 601-646. [10.1016/j.anihpc.2020.08.007]
File in questo prodotto:
File Dimensione Formato  
Bonacini - Niethammer - Velazquez, Solutions with peaks for a coagulation fragmentation equation II.pdf

Open Access dal 02/05/2023

Tipologia: Post-print referato (Refereed author’s manuscript)
Licenza: Creative commons
Dimensione 547.98 kB
Formato Adobe PDF
547.98 kB Adobe PDF Visualizza/Apri
Bonacini - Niethammer - Velazquez, Solutions with peaks for a coagulation fragmentation equation II.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 697.84 kB
Formato Adobe PDF
697.84 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/285001
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 0
social impact