arXiv subjects

Jackson Luchesi

Publications and source records attributed to Jackson Luchesi.

4 recordsLinked to original sources

arXiv2025

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping

This manuscript studies a model of double-walled carbon nanotubes using two Timoshenko beams which are coupled by the Van der Walls force $(y-u)$. Kelvin-Voigt type dampings $(u_x-v)_{xt}$ and $(y_x-z)_{xt}$ and fractional dampings $(-\partial_{xx})^\alpha v_t$ and $(-\partial_{xx})^\beta z_t$ in both beams have been considered. We show that our proposed model is well established and that the semigroup associated is exponentially stable and analytical for any $(\alpha, \beta) \in [0, 1]^2$. As a consequence of this, a result on the analyticity of a Timoshenko System is obtained.

math.AP↗

arXiv2019

Formulation of problems for stationary dispersive equations of higher orders on bounded intervals with general boundary conditions

Boundary value problems for linear stationary dispersive equations of order $2l+1$, $l\in \mathbb{N}$ have been considered on finite intervals $(0,L)$. The existence and uniqueness of regular solutions have been established for general linear boundary conditions.

math.AP↗

arXiv2018

Generalized dispersive equations of higher orders posed on bounded intervals: local theory

Initial-boundary value problems for nonlinear dispersive equations of evolution of order $2l+1,\;l\in\mathbb{N}$ with a convective term of the form $u^ku_x,\;k\in\mathbb{N}$ have been considered on intervals $(0,L),\;L\in (0,+\infty)$. The existence and uniqueness of local regular solutions have been established.

math.AP↗

arXiv2018

Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term

A boundary value problem for a stationary nonlinear dispersive equation of order $2l+1\;\; l\in \mathbb{N}$ with a convective term in the form $u^ku_x\;\; k\in \mathbb{N}$ was considered on an interval $(0,L)$. The existence, uniqueness and continuous dependence of a regular solution as well as a relation between $l$ and critical values of $k$ have been established.

math.AP↗