Now showing items 1-12 of 12

    • Asymptotic behavior of the Rao–Nakra sandwich beam model with Kelvin–Voigt damping 

      Quispe Méndez, Teófanes; Cabanillas Zannini, Victor Rafael; Feng, Baowei (SAGE Publications, 2023)
      Acceso restringido
      The Rao–Nakra sandwich beam is a coupled system consisting of two wave equations for the longitudinal displacements of the top and bottom layers and an Euler–Bernoulli beam equation for the transversal displacement. This ...
    • Blow-up results for a viscoelastic beam equation of p-Laplacian type with strong damping and logarithmic source 

      Carvalho Pereira, Ducival; Araújo, Geraldo M.; Raposo, Carlos A.; Cabanillas Zannini, Victor Rafael (John Wiley and Sons, 2023)
      Acceso restringido
      In this paper, we investigate the existence, uniqueness, exponential decay, and blow-up behavior of the viscoelastic beam equation involving the (Formula presented.) -Laplacian operator, strong damping, and a logarithmic ...
    • La ecuación de Black-Scholes: aspectos matemático-financieros 

      Cabanillas Zannini, Victor Rafael (Universidad de Lima, 2014)
      Acceso abierto
      El objetivo de este proyecto es el estudio de los aspectos matemáticos y financieros de la valoración de opciones por medio del célebre modelo de Black- Scholes. A lo largo del estudio se exponen las herramientas y ...
    • Exponential and polynomial stabilization of laminated beams with two history memories 

      Quispe Méndez, Teófanes; Cabanillas Zannini, Victor Rafael; Feng, Baowei (American Institute of Mathematical Sciences, 2023)
      Acceso restringido
      In this paper, a laminated beam system with two history-type controls is studied. One of the controls acts on the effective rotation angle and the other on the slip equation. The latter control replaces the structural ...
    • Exponential stability for laminated beams with intermediate damping 

      Cabanillas Zannini, Victor Rafael; Raposo, Carlos A. (Springer, 2022)
      Acceso restringido
      In this manuscript, we consider a system composed of two identical Timoshenko beams joined by an adhesive layer of negligible thickness, producing an interfacial slip. We introduce a dissipative mechanism not previously ...
    • Laminated beams with thermoelasticity acting on the shear force 

      Cabanillas Zannini, Victor Rafael; Quispe Méndez, Teófanes; Ramos, Anderson J. A. (John Wiley & Sons, Ltd., 2023)
      Acceso restringido
      In this paper, we study the stabilization of a laminated beam system under the action of a new thermal coupling. Motivated by the work of Almeida Júnior et al. in the context of the Timoshenko system, we consider a ...
    • Nonuniform laminated beam of Lord–Shulman type 

      Feng, Baowei; Cabanillas Zannini, Victor Rafael; Coayla-Teran, Edson A.; Raposo, Carlos Alberto (John Wiley and Sons Inc, 2022)
      Acceso restringido
      The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory ...
    • Optimal polynomial stability for laminated beams with Kelvin–Voigt damping 

      Cabanillas Zannini, Victor Rafael (Wiley-Blackwell, 2022)
      Acceso restringido
      In this manuscript, we study the asymptotic behavior of two laminated beams systems formed by two identical layers of uniform thickness, whose surfaces are held together by an adhesive layer that allows interfacial sliding. ...
    • Optimal stability results for laminated beams with Kelvin-Voigt damping and delay 

      Cabanillas Zannini, Victor Rafael; Potenciano-Machado, Leyter; Quispe Méndez, Teófanes (Elsevier Inc., 2022)
      Acceso restringido
      We use semigroup theory to prove the well-posedness and get exponential and polynomial stability estimates for a delayed laminated beam system with Kelvin-Voigt damping. The Kelvin-Voigt damping only acts either on the ...
    • Stability of solution for rao-nakra sandwich beam motel with Kelvin-Voigt damping and time delay 

      Cabanillas Zannini, Victor Rafael; Raposo, Carlos Alberto; Potenciano-Machado, Leyter (Serbian Society of Mechanics, 2022)
      Acceso abierto
      This paper deals with stability of solution for a one-dimensional model of Rao–Nakra sandwich beam with Kelvin–Voigt damping and time delay given by ¿1h1¿¿¿ - ¿1h1¿¿¿ - ¿(-¿ + ¿ + ¿¿¿) - ¿¿¿¿¿ - ¿¿¿¿¿( · , ¿ - ¿) = 0, ...
    • Stability Results for a Laminated Beam with Kelvin–Voigt Damping 

      Ramos, A. J. A.; Freitas, M. M.; Cabanillas Zannini, Victor Rafael; Dos Santos, M. J.; Raposo, C. A. (Springer, 2023)
      Acceso restringido
      In this work, we consider a laminated beam subjected to Kelvin–Voigt damping. Under the semigroup theory approach, applying the Lumer–Phillips Theorem, we establish the well-posedness of the associated initial value problem. ...
    • Stability results for a laminated thermoviscoelastic system with Fourier’s law 

      Quispe Méndez, T.; Cabanillas Zannini, Victor Rafael; Ramos, A.J.A. (Birkhauser, 2022)
      Acceso abierto
      In this paper, we study the qualitative behavior of a mathematical model for two-layered beams with Kelvin– Voigt damping acting at the shear angle. The model describes the behavior of two-layered beams in which slip can ...