Instability of coupled systems with delay

Reinhard Racke
2012 Communications on Pure and Applied Analysis  
We consider linear initial-boundary value problems that are a coupling like second-order thermoelasticity, or the thermoelastic plate equation or its generalization . Now, there is a delay term given in part of the coupled system, and we demonstrate that the expected inherent damping will not prevent the system from not being stable.
doi:10.3934/cpaa.2012.11.1753 fatcat:iz43s7sb7zg67d66ly7htn3ney