The variational contact problem for elastic objects of different dimensions.
The variational principle for the uniform acceleration and quasi-spin in two dimensional space-time.
The viscosity subdifferential of the sum of two functions in Banach spaces. I: First order case.
The von Neumann minimax theorem revisited
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...
The Weierstrass integral in the complex plane
Théorème de minimax sans topologie ni convexité
Dans cete note, nous présentons un théorème de minimax (Théorème A) formulé seulement en langage de la théorie des ensembles. Ce résultat permet de déduire de façon immédiate (en utilisant un lemme de topologie générale) plusieurs théorèmes de minimax bien connus.
Théorème de Noether pour des problèmes variationnels à arguments déplacés
Theorems on lower semicontinuity and relaxation for integrands with fast growth.
Theoretical analysis and control results for the Fitzhugh-Nagumo equation.
Theoretical study and optimization of a fluid-structure interaction problem
Théorie classique des champs en interaction : théorie de jauge et interprétation géométrique
Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal.
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive...
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful...
Three-step iterations for mixed quasi variational-like inequalities.
Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps.
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian-Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving...
Time dependent Dirichlet space, mixed Dirichlet problem and pseudo-differential operators
Time domain decomposition in final value optimal control of the Maxwell system
We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time...