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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82777
Título:
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Dynamics of the solutions of the water hammer equations
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Autor:
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Conejero, J. Alberto
Lizama, Carlos
Ródenas Escribá, Francisco de Asís
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Entidad UPV:
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Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
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Fecha difusión:
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Resumen:
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[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 ...[+]
[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.
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Palabras clave:
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Hydraulics
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C-0-semigroups
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Cosine operator function
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Sine operator function
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Devaney chaos
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Hypercyclicity
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Water Hammer equations
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Wave propagation
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Topology and its Applications. (issn:
0166-8641
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DOI:
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10.1016/j.topol.2015.12.076
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Editorial:
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Elsevier
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Versión del editor:
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https://doi.org/10.1016/j.topol.2015.12.076
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Código del Proyecto:
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info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/UPV//SP20120700/
info:eu-repo/grantAgreement/CONICYT//1140258/
info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
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Descripción:
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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¨
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Agradecimientos:
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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 ...[+]
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.
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Tipo:
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Artículo
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