Qualitative aspects in dual-phase-lag heat conduction
نویسندگان
چکیده
منابع مشابه
Qualitative Aspects in Dual-Phase-Lag Heat Conduction
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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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...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2006
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2006.1784