Exact controllability of vibrations of thin bodies.
Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.
Existence and convergence of the expansion in the asymptotic theory of elastic thin plates
Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order
The existence and uniqueness of classical global solution and blow up of non-global solution to the first boundary value problem and the second boundary value problem for the equation are proved. Finally, the results of the above problem are applied to the equation arising from nonlinear waves in elastic rods
Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.
Existence and uniqueness of equilibrium states of a rotating elastic rod.
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of , is equivalent to finding the critical points...
Existence of equilibrium states of hollow elastic cylinders submerged in a fluid.
Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam.
Existence of positive solutions of a discrete elastic beam equation.
Existence of solutions for prestressed shallow shells
Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Exponential stability of a von Kármán model with thermal effects.
External approximation of first order variational problems via W-1,p estimates
Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of Γ-convergence theory.
Finite Dimensional Approximation of Nonlinear Problems. Part I. Branches of Nonsingular Solutions.
Finite element analysis of a system of quasi-parabolic partial differential equations
Finite element approximations of the von Kármán equations