Abstract
AbstractIn this article, we study the stability issues of a thermoelastic diffusion problem of type III in spaces of different dimensions. First we prove that the one‐dimensional problem is exponentially stable without adding damping terms. Then we prove the lack of exponential stability in the two‐dimensional space. Moreover, a frictional damping for the elastic component leads to the exponential stability in three‐dimensional space. As the form of the damping term depends on the nature of the material, we will distinguish the case of isotropic materials and the case of anisotropic materials.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
