Large time behaviour for non-simple thermoelasticity with second sound
Date
2017-10-16
Authors
Munoz Rivera, Jaime E.
Vega, Juan Carlos
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove that the non-simple thermoelastic model, with Cattaneo's or Gurtin-Pipkin's law, is indifferent to the presence of the inertial term. That is, considering or not the irrotational term, there is a lack of exponential stability. Additionally, we show that the semigroup is polynomially stable and that the rate of decay of the solution (both optimal) are the same with or without the rotational term.
Description
Keywords
Exponential stability, Dissipative systems, Thermoelasticity, Hyperbolic models
Citation
Muñoz Rivera, J. E., & Vega, J. C. (2017). Large time behaviour for non-simple thermoelasticity with second sound. <i>Electronic Journal of Differential Equations, 2017</i>(259), pp. 1-7.