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Transmission problem in thermoelasticity with symmetry
Authors:Marzocchi, Alfredo   Rivera, Jaime E. Munoz   Naso, Maria Grazia
Affiliation: 1 Dipartimento di Matematica, Università degli Studi di Brescia, Via Valotti 9, I - 25133 Brescia, Italia 2 National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitadinha-Petrópolis 25651-070, Rio de Janeiro, RJ, Brazil 3 Dipartimento di Matematica, Università degli Studi di Brescia, Via Valotti 9, I - 25133 Brescia, Italia
Abstract:
In this paper we show the existence, uniqueness and regularityof the solutions to the thermoelastic transmission problem.Moreover, when the solutions are symmetrical we show that theenergy decays exponentially as time goes to infinity, no matterhow small is the size of the thermoelastic part.
Keywords:transmission problem   n-d-thermoelasticity   radial symmetry   exponential decay   simultaneous stabilization.
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