Nicolás Zumelzu - Academia.edu (original) (raw)
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Papers by Nicolás Zumelzu
The main goal in this work is to prove the exponential decay of the semigroup associated with a t... more The main goal in this work is to prove the exponential decay of the semigroup associated with a thermoelastic system composed of an Euler-Bernoulli type equation that models the transverse oscillation of a homogeneous microbeam with axial movement and in which a viscous damping is acting. In addition, to this microbeam has been endowed with a thermal effect given by the Coleman-Gurtin model which depends essentially on past history, representing an improvement of Fourier, Cattaneo and Green-Naghdi models. To achieve this goal, we will use mainly multiplicative techniques and standard tools of functional analysis.
IEEE Transactions on Fuzzy Systems, 2022
A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funçõe... more A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funções integráveis, pela comodidade de subdividi-los utilizando partições. É evidente que o procedimento de integração deve ser mais amplio e abarcar domínios mais gerais.
The main goal in this work is to prove the exponential decay of the semigroup associated with a t... more The main goal in this work is to prove the exponential decay of the semigroup associated with a thermoelastic system composed of an Euler-Bernoulli type equation that models the transverse oscillation of a homogeneous microbeam with axial movement and in which a viscous damping is acting. In addition, to this microbeam has been endowed with a thermal effect given by the Coleman-Gurtin model which depends essentially on past history, representing an improvement of Fourier, Cattaneo and Green-Naghdi models. To achieve this goal, we will use mainly multiplicative techniques and standard tools of functional analysis.
IEEE Transactions on Fuzzy Systems, 2022
A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funçõe... more A construção da integral de Riemann que estudamos baseia-se em retângulos como domínio das funções integráveis, pela comodidade de subdividi-los utilizando partições. É evidente que o procedimento de integração deve ser mais amplio e abarcar domínios mais gerais.