The discrete generalized exchange-driven system

Barik, Prasanta Kumar; Costa, Fernando Pestana da; Pinto, João Teixeira; Sasportes, Rafael

Publication

The discrete generalized exchange-driven system

2025-10-28Journal article

datacite.subject.fos	Ciências Naturais::Matemáticas
dc.contributor.author	Barik, Prasanta Kumar
dc.contributor.author	Costa, Fernando Pestana da
dc.contributor.author	Pinto, João Teixeira
dc.contributor.author	Sasportes, Rafael
dc.contributor.editor	F.P. DA COSTA
dc.date.accessioned	2025-11-04T16:25:08Z
dc.date.available	2025-11-04T16:25:08Z
dc.date.issued	2025-10-28
dc.description.abstract	We study a discrete model for generalized exchange-driven growth in which the particle exchanged between two clusters is not limited to be of size one. This set of models include as special cases the usual exchange-driven growth system and the coagulation-fragmentation system with binary fragmentation. Under reasonable general condition on the rate coefficients we establish the existence of admissible solutions, meaning solutions that are obtained as appropriate limit of solutions to a finite-dimensional truncation of the infinite-dimensional ODE. For these solutions, we prove that, in the class of models, we call isolated both the total number of particles and the total mass are conserved, whereas in those models, we can non-isolated only the mass is conserved. Additionally, under more restrictive growth conditions for the rate equations, we obtain uniqueness of solutions to the initial value problems.	eng
dc.description.sponsorship	PKB acknowledges support from the María de Maeztu grant CEX2020-001105-M from the Spanish government. FPdC, JTP, and RS were partially supported by Fundação para a Ciência e Tecnologia (Portugal) through project UID/04459/2025 with DOI identifier 10-54499/UID/04459/2025. We also want to thank the anonymous reviewer for his/her valuable comments.
dc.identifier.citation	Barik, P.K., da Costa, F.P., Pinto, J.T., Sasportes, R., The discrete generalized exchange-driven system, Math. Methods Appl. Sci., published online in October 28, 2025. pp. 38
dc.identifier.doi	10.1002/mma.70222
dc.identifier.issn	1099-1476
dc.identifier.uri	http://hdl.handle.net/10400.2/20399
dc.language.iso	eng
dc.peerreviewed	yes
dc.publisher	John Wiley & Sons
dc.relation.hasversion	https://onlinelibrary.wiley.com/doi/10.1002/mma.70222
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	aggregation kinetics
dc.subject	exchange-driven cluster growth
dc.subject	ordinary differential equations
dc.title	The discrete generalized exchange-driven system	eng
dc.type	journal article
dspace.entity.type	Publication
oaire.citation.endPage	38
oaire.citation.issue	?
oaire.citation.startPage	1
oaire.citation.title	Mathematical Methods in the Applied Sciences
oaire.version	http://purl.org/coar/version/c_ab4af688f83e57aa
person.familyName	Barik
person.familyName	Costa
person.familyName	Pinto
person.familyName	Sasportes
person.givenName	Prasanta Kumar
person.givenName	Fernando Pestana da
person.givenName	João Teixeira
person.givenName	Rafael
person.identifier.ciencia-id	1610-6502-E6C5
person.identifier.ciencia-id	DC16-AE64-30AE
person.identifier.orcid	0000-0001-7053-4110
person.identifier.orcid	0000-0002-9072-797X
person.identifier.orcid	0000-0003-0190-2113
person.identifier.orcid	0000-0003-2855-9490
person.identifier.rid	K-5942-2013
person.identifier.scopus-author-id	14827970300
person.identifier.scopus-author-id	7402584922
person.identifier.scopus-author-id	24176381600
relation.isAuthorOfPublication	9aba3558-b931-47b9-974f-bafa46196832
relation.isAuthorOfPublication	72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication	378f92b2-9a55-4997-b135-4e099cd76d84
relation.isAuthorOfPublication	51b5ae32-4da8-4e15-bdb6-f59ec776d293
relation.isAuthorOfPublication.latestForDiscovery	72748d24-0598-4f36-804e-87eebd0d06af