Year: 2023
Type: article
Abstract: We study the Regularity of the Timoshenko system with two fractional dampings (-∆)τ ut and (-∆)σψt; both of the parameters (τ, σ) vary in the interval [0, 1].We note that (τ = 0 or σ = 0) and (τ = 1 or σ = 1) the dampings are called frictional and viscous, respectively.Our main contribu-tion is to show that the corresponding semigroup S(t) = eBt, is analytic for (τ, σ) ∈ RA:= [1/2,1]×[1/2,1] and determine the Gevrey's class ν >
Source: Journal of Engineering Research
Author: Fredy Maglorio Sobrado Suárez
Institution: Universidade Tecnológica Federal do Paraná
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4386211726