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On the regularity for thermoelastic systems of phase-lag parabolic type
Jaime Muñoz Rivera, Elena Ochoa Ochoa, Ramón Quintanilla
In this article, we investigate the maximal smoothness (infinite differentiability) of solutions to thermoelastic models, specifically those where the heat equation is of the ``pha…
Thermoelastic plates with type I heat conduction with second gradient
Jaime Muñoz Rivera, Elena Ochoa Ochoa, Ramón Quintanilla
This paper investigates the qualitative properties of thermoelastic plates modeled by the second-gradient theory with a Type I heat equation. We establish the exponential stability…
Absence of Exponential Stability and Polynomial Stabilization in a Class of Beam Models with Tip Rotary Inertia
Gerardo Gómez Ávalos, Jaime Muñoz Rivera, Elena Ochoa Ochoa
We investigate the impact of dissipative dynamic boundary conditions applied at one end of a beam, analyzing their influence on model stability within the Euler-Bernoulli framework…