The solvability of a new system of nonlinear variational-like inclusions.
The use of Young measures for constructing minimizing sequences in the calculus of variations.
The variational contact problem for elastic objects of different dimensions.
The weak solution of an antiplane contact problem for electro-viscoelastic materials with long-term memory
We study a mathematical model which describes the antiplane shear deformation of a cylinder in frictionless contact with a rigid foundation. The material is assumed to be electro-viscoelastic with long-term memory, and the friction is modeled with Tresca's law and the foundation is assumed to be electrically conductive. First we derive the classical variational formulation of the model which is given by a system coupling an evolutionary variational equality for the displacement field with a time-dependent...
Three-step iterations for mixed quasi variational-like inequalities.
Topology optimization of systems governed by variational inequalities
This paper deals with the formulation of the necessary optimality condition for a topology optimization problem of an elastic body in unilateral contact with a rigid foundation. In the contact problem of Tresca, a given friction is governed by an elliptic variational inequality of the second order. The optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the contact boundary of the body is minimized. The topological derivative...
Traveling waves in a cylinder rolling on a flat surface
Two remarks on the stability of generalized hemivariational inequalities.
Tykhonov well-posedness of a heat transfer problem with unilateral constraints
We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain and its weak formulation is in the form of a hemivariational inequality for the temperature field, denoted by . We associate to Problem an optimal control problem, denoted by . Then, using appropriate Tykhonov triples, governed by a nonlinear operator and a convex , we provide results concerning the well-posedness of problems...
Un problema di ostacolo elastico non lineare per la piastra incastrata
Si formula il problema della piastra su mezzo elastico con riferimento ad una particolare modellazione del comportamento di tale mezzo. Si ipotizza infatti una natura unilaterale del contatto tra la piastra, supposta sottile e linearmente elastica, ed il mezzo di fondazione (od ostacolo), per il quale si ipotizza un legame cubico tra spostamenti e reazioni. Tale modello costituisce una generalizzazione di quello ben noto di Winkler e si presta alla descrizione approssimata di numerosi casi della...
Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale
Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale
Dans cet article nous prouvons un nouveau résultat d'existence pour une classe de problèmes d'optimisation de forme assez générale. Les ouverts que nous considérons possèdent une contrainte de nature géométrique sur la normale intérieure. Ce travail est motivé par la formulation variationnelle d'un problème à frontière libre dont la solution possède cette propriété géométrique.
Une méthode multigrille pour la solution des problèmes d'obstacle
Unilateral contact of elastic bodies (moment theory).
Uniqueness results and monotonicity properties for strongly nonlinear elliptic variational inequalities
Upper semicontinuity of solution maps for a parametric weak vector variational inequality.
Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
We study a variational formulation for a Stefan problem in two adjoining bodies, when the heat conductivity of one of them becomes infinitely large. We study the «concentrated capacity» model arising in the limit, and we justify it by an asymptotic analysis, which is developed in the general framework of the abstract evolution equations of monotone type.
Variational formulation for incompressible Euler flow/shape-morphing metric and geodesic
Variational inequalities for energy functionals with nonstandard growth conditions.
Variational inequalities for vector-valued functions.