Phase-lag heat conduction : decay rates for limit problems and well-posedness

Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard

Phase-lag heat conduction : decay rates for limit problems and well-posedness

Dateien

313_Borgmeyer.pdfGröße: 347.52 KBDownloads: 398

Datum

2013

Autor:innen

Borgmeyer, Karin

Quintanilla, Ramón

Racke, Reinhard

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

In two recent papers the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag heat conduction equations. However, for several limit cases relating to the parameters the kind of stability was unclear. Here we analyze these limit cases and clarify whether we can expect exponential or slow decay for the solutions. Moreover, rather general well-posedness results for three-phase-lag models are presented. Finally, the exponential stability expected by spectral analysis is rigorously proved exemplarily.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Exponential Stability

Zitieren

ISO 690

BORGMEYER, Karin, Ramón QUINTANILLA, Reinhard RACKE, 2013. Phase-lag heat conduction : decay rates for limit problems and well-posedness

BibTex

@techreport{Borgmeyer2013Phase-21235,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Phase-lag heat conduction : decay rates for limit problems and well-posedness},
  number={313},
  author={Borgmeyer, Karin and Quintanilla, Ramón and Racke, Reinhard}
}

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