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math.AP2025
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…
math.AP2025
Absence of Exponential Stability and Polynomial Stabilization in a Class of Beam Models with Tip Rotary Inertia
Gerardo Gómez Ãvalos, 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…