Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
Elastoplastic reaction of a container to water freezing
The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.
Existence and comparison results for quasilinear evolution hemivariational inequalities.
Existence of solution a of nonlinear degenerate systems of parabolic variational inequalities
Existence Results for Unilateral Quasistatic Contact Problems With Friction and Adhesion
We consider a two dimensional elastic body submitted to unilateral contact conditions, local friction and adhesion on a part of his boundary. After discretizing the variational formulation with respect to time we use a smoothing technique to approximate the friction term by an auxiliary problem. A shifting technique enables us to obtain the existence of incremental solutions with bounds independent of the regularization parameter. We finally obtain the existence of a quasistatic solution...
Extension of a regularity result concerning the dam problem
One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.