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Bresse system with Fourier law on shear force. (English) Zbl 1333.35277

Summary: Our goal in this paper is to investigate the effect of Fourier law on a new coupling for the Bresse system. We give an explicit characterization on the decay rate that can be exponential or polynomial type, depending on the relation between the coefficients of the wave speed propagation.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
35B40 Asymptotic behavior of solutions to PDEs
74F05 Thermal effects in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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Full Text: Euclid