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2021

Gerardo Gómez; Jaime Muñoz Rivera; Z. Liu

Gevrey class of locally dissipative Euler-Bernoulli beam equation Journal Article

SIAM J. Control Optim, 59 (3), pp. 2174–2194, 2021, ISBN: 0363-0129.

Links | Etiquetas: $C_{0}$-semigroup, differentiability, EDP, exponential stability, Gevrey class, GIEDPMA, Kelvin--Voigt damping, Thermoviscoelasticity, viscoelasticity

Gabriel Aguilera; Jaime Muñoz Rivera

Stability of a Timoshenko system with localized Kelvin-Voigt dissipation. Journal Article

Applied Mathematics & Optimization, 83 (3), pp. 3547–3563, 2021.

Links | Etiquetas: EDP, exponential stability, GIEDPMA, Localized viscoelastic dissipative mechanism, Polynomial decay, Timoshenko beam, Transmission problem

2020

Jaime Muñoz Rivera; Reinhard Racke; Mauricio Sepúlveda; Octavio Vera

On exponential stability for thermoelastic plates: comparison and singular limits. Journal Article

Appl. Math. Optim, 84 (1), pp. 1045-1081, 2020.

Links | Etiquetas: Cattaneo law, exponential stability, Fourier law, GIMNAP, Inertial term, Numerical Analysis, Plates, Singular limit, Thermoelasticity

2019

Tita Maryati; Jaime Muñoz Rivera; Octavio Vera

Asymptotic behavior in a laminated beams due interfacial slip with a boundary dissipation of fractional derivative type. Journal Article

Applied Mathematics & Optimization, 84 (1), pp. 85-102, 2019.

Etiquetas: EDP, exponential stability, Fractional derivative, GIEDPMA, Interfacial slip, Laminated beam, Polynomial stability, Semigroup theory, Thermoelastic structure