Qualitative Aspects in Dual-Phase-Lag Heat Conduction

Quintanilla, Ramon; Racke, Reinhard

Qualitative Aspects in Dual-Phase-Lag Heat Conduction

Dateien

preprint_218.pdfGröße: 173.88 KBDownloads: 237

Datum

2006

Autor:innen

Quintanilla, Ramon

Racke, Reinhard

Schriftenreihe

Konstanzer Schriften in Mathematik und Informatik

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-22381

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

We consider the system of dual-phase-lag heat conduction proposed by Tzou (1995a). First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of third-order in time is well-posed. Then the exponential stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

QUINTANILLA, Ramon, Reinhard RACKE, 2006. Qualitative Aspects in Dual-Phase-Lag Heat Conduction

BibTex

@unpublished{Quintanilla2006Quali-514,
  year={2006},
  title={Qualitative Aspects in Dual-Phase-Lag Heat Conduction},
  author={Quintanilla, Ramon and Racke, Reinhard}
}

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