Electron. J. Differential Equations, Vol. 2017 (2017), No. 259, pp. 1-7.

Large time behaviour for non-simple thermoelasticity with second sound

Jaime E. Munoz Rivera, Juan Carlos Vega

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.

Submitted September 4, 2017. Published October 16, 2017.
Math Subject Classifications: 35L70, 35B40.
Key Words: Exponential stability; dissipative systems; thermoelasticity; hyperbolic models.

Show me the PDF file (195 KB), TEX file for this article.

Jaime E. Muñoz Rivera
Department of Mathematics
University of Bío-Bío
Concepción, Chile
email: jemunozrivera@gmail.com
Juan Carlos Vega
Department of Mathematics
University of Bío-Bío
Concepción, Chile
email: jvega@ubiobio.cl

Return to the EJDE web page