Qualitative Aspects in Dual-Phase-Lag Heat Conduction

نویسندگان

  • Ramón Quintanilla
  • Reinhard Racke
چکیده

We consider the system of dual-phase-lag heat conduction proposed by Tzou [21]. First, we prove that the solutions of the problem are generated by a semigroup of quasicontractions. 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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تاریخ انتشار 2006