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Dynamics of the solutions of the water hammer equations

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Dynamics of the solutions of the water hammer equations

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Lizama, Carlos es_ES
dc.contributor.author Ródenas Escribá, Francisco de Asís es_ES
dc.date.accessioned 2017-06-13T18:10:58Z
dc.date.available 2017-06-13T18:10:58Z
dc.date.issued 2016-04-15
dc.identifier.issn 0166-8641
dc.identifier.uri http://hdl.handle.net/10251/82777
dc.description NOTICE: this is the author’s version of a work that was accepted for publication in Topology and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Topology and its Applications, [Volume 203, 15 April 2016, Pages 67-83] DOI10.1016/j.topol.2015.12.076¨ es_ES
dc.description.abstract [EN] In this note we provide a representation of the solution using an operator theoretical approach based on the theory of C-0-semigroups and cosine operator functions, when considering this phenomenon on a compressible fluid along an infinite pipe. We provide an integro-differential equation that represents this phenomenon and it only involves the discharge. In addition, the representation of the solution in terms of a specific C-0-semigroup lets us show that hypercyclicity and the topologically mixing property can occur when considering this phenomenon on certain weighted spaces of integrable and continuous functions on the real line. (C) 2016 Elsevier B.V. All rights reserved. es_ES
dc.description.sponsorship The first and third authors are supported by MEC Projects MTM2010-14909 and MTM2013-47093-P. The first author is also supported by Programa de Investigación y Desarrollo de la UPV, Ref. SP20120700. The second author is partially supported by CONICYT, under Fondecyt Grant number 1140258.
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Topology and its Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hydraulics es_ES
dc.subject C-0-semigroups es_ES
dc.subject Cosine operator function es_ES
dc.subject Sine operator function es_ES
dc.subject Devaney chaos es_ES
dc.subject Hypercyclicity es_ES
dc.subject Water Hammer equations es_ES
dc.subject Wave propagation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Dynamics of the solutions of the water hammer equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.topol.2015.12.076
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//SP20120700/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICYT//1140258/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Conejero, JA.; Lizama, C.; Ródenas Escribá, FDA. (2016). Dynamics of the solutions of the water hammer equations. Topology and its Applications. 203:67-83. https://doi.org/10.1016/j.topol.2015.12.076 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.topol.2015.12.076 es_ES
dc.description.upvformatpinicio 67 es_ES
dc.description.upvformatpfin 83 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 203 es_ES
dc.relation.senia 325584 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación
dc.contributor.funder Universitat Politècnica de València
dc.contributor.funder Comisión Nacional de Investigación Científica y Tecnológica, Chile
dc.contributor.funder Ministerio de Economía y Competitividad


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