Stability and convergence of modal approximations in coupled thermoelastic systems: Theory and simulation
Abstract
In this work, we review and analyze both the theoretical and numerical aspects of strongly and weakly coupled thermoelastic systems. By employing spectral analysis techniques and establishing uniform resolvent estimates, we derive uniform polynomial decay rates for the associated semigroups under a suitable class of boundary conditions. Particular attention is paid to the role of modal approximations in energy analysis. The theoretical results are complemented by numerical experiments that illustrate how the regularity of initial data, smooth versus nonsmooth, affects the observed decay rates, providing deeper insight into the interplay between spectral structure and energy dissipation.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - S
- Volume
- 31
- Issue
- 0
- Pages
- 48–80
- Publication date
- 27 February 2026
- Language
- EN