60 citations · 135 across the 16 of their papers we have counts for
16 papers
Sensitivity analysis of a Signorini-type history-dependent variational inequality
Livia Betz, Andaluzia Matei, Mircea Sofonea
We consider a history-dependent variational inequality (P) which models the frictionless contact between a viscoelastic body and a rigid obstacle covered by a layer of soft materia…
A Convergence Criterion for Elliptic Variational Inequalities
Claudia Gariboldi, Anna Ochal, Mircea Sofonea +1
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space which, under appropriate assumptions on the data, has a unique solution . We fo…
Modelling, Analysis and Numerical Simulation of a Spring-Rods System with Unilateral Constraints
Anna Ochal, Wiktor Prządka, Mircea Sofonea +1
In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the mode…
Duality Arguments in the Analysis of a Viscoelastic Contact Problem
Piotr Bartman, Anna Ochal, Mircea Sofonea
We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions…
Episome partitioning and symmetric cell divisions: quantifying the role of random events in the persistence of HPV infections
Thomas Beneteau, Christian Selinger, Mircea T. Sofonea +1
Human Papillomaviruses (HPV) are one of the most prevalent sexually transmitted infections (STI) and the most oncogenic viruses known to humans. The vast majority of HPV infections…
Tykhonov Well-posedness of a Heat Transfer Problem with Unilateral Constraints
Mircea Sofonea, Domingo A. Tarzia
We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain $D\subset\R^…