Qualitative Aspects in Dual-Phase-Lag Thermoelasticity

نویسندگان

  • Ramón Quintanilla
  • Reinhard Racke
چکیده

We consider the system of dual-phase-lag thermoelasticity proposed by Chandrasekharaiah and Tzou. 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 expontial stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a resuult on the domain of influence is obtained.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 66  شماره 

صفحات  -

تاریخ انتشار 2006