Advances in Differential Equations

Bresse system with Fourier law on shear force

D.S. Almeida Júnior, J.E. Muñoz Rivera, and M.L. Santos

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Abstract

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.

Article information

Source
Adv. Differential Equations Volume 21, Number 1/2 (2016), 55-84.

Dates
First available in Project Euclid: 23 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.ade/1448323164

Mathematical Reviews number (MathSciNet)
MR3449330

Zentralblatt MATH identifier
1333.35277

Subjects
Primary: 35Q70: PDEs in connection with mechanics of particles and systems 35B40: Asymptotic behavior of solutions 74F05: Thermal effects

Citation

Santos, M.L.; Almeida Júnior, D.S.; Muñoz Rivera, J.E. Bresse system with Fourier law on shear force. Adv. Differential Equations 21 (2016), no. 1/2, 55--84. https://projecteuclid.org/euclid.ade/1448323164.


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