Qualitative aspects in dual-phase-lag heat conduction | Zendy

R. Quintanilla | Zendy; Reinhard Racke | Zendy

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Qualitative aspects in dual-phase-lag heat conduction

Author(s) -

R. Quintanilla,

Reinhard Racke

Publication year - 2006

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2006.1784

Subject(s) - lag , thermal conduction , phase lag , uniqueness , heat flux , exponential growth , heat equation , phase (matter) , mathematics , exponential decay , exponential function , dual (grammatical number) , flux (metallurgy) , mathematical analysis , heat transfer , physics , thermodynamics , materials science , computer science , computer network , art , literature , quantum mechanics , nuclear physics , metallurgy

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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