Qualitative Aspects in Dual-Phase-Lag Heat Conduction

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2006
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Quintanilla, Ramon
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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.

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510 Mathematik
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ISO 690QUINTANILLA, Ramon, Reinhard RACKE, 2006. Qualitative Aspects in Dual-Phase-Lag Heat Conduction
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@unpublished{Quintanilla2006Quali-514,
  year={2006},
  title={Qualitative Aspects in Dual-Phase-Lag Heat Conduction},
  author={Quintanilla, Ramon and Racke, Reinhard}
}
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