Fluid flow in macromolecular systems and related perturbation problems
Forced vibrations in one-dimensional nonlinear thermoelasticity as a local coercive-like problem
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale. Nota II
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale
Formules de l'élasticité des corps amorphes que des compressions permanentes et inégales ont rendus hétérotropes.
Fundamental problems for a weakened infinite plate by a curvilinear hole in a half-plane.
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented lagrangians allows to apply an infinite-dimensional...
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented Lagrangians allows to apply an...
Generators of hyperbolic heat equation in nonlinear thermoelasticity
Generic properties of von Kármán equations
Geometrical modeling of material aging.
Geometrically nonlinear shape-memory polycrystals made from a two-variant material
Geometrically nonlinear shape-memory polycrystals made from a two-variant material
Bhattacharya and Kohn have used small-strain (geometrically linear) elasticity to analyze the recoverable strains of shape-memory polycrystals. The adequacy of small-strain theory is open to question, however, since some shape-memory materials recover as much as 10 percent strain. This paper provides the first progress toward an analogous geometrically nonlinear theory. We consider a model problem, involving polycrystals made from a two-variant elastic material in two space dimensions. The linear theory...
Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in and
Global existence of weak solutions to the Fried-Gurtin model of phase transitions
We prove the existence of global in time weak solutions to a three-dimensional system of equations arising in a simple version of the Fried-Gurtin model for the isothermal phase transition in solids. In this model the phase is characterized by an order parameter. The problem considered here has the form of a coupled system of three-dimensional elasticity and parabolic equations. The system is studied with the help of the Faedo-Galerkin method using energy estimates.
Global solutions of the equations of elastodynamics for incompressible materials.
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation
Global uniqueness for an inverse boundary problem arising in elasticity.
Global well-posedness and blow up for the nonlinear fractional beam equations
We establish the Strichartz estimates for the linear fractional beam equations in Besov spaces. Using these estimates, we obtain global well-posedness for the subcritical and critical defocusing fractional beam equations. Of course, we need to assume small initial data for the critical case. In addition, by the convexity method, we show that blow up occurs for the focusing fractional beam equations with negative energy.
Global-Local subadditive ergodic theorems and application to homogenization in elasticity