Recent Submissions

  • Product measurability with applications to a stochastic contact problem with friction 

    Kuttler, Kenneth; Shillor, Meir (2014-12)
    A new product measurability result for evolution equations with random inputs, when there is no uniqueness of the ω-wise problem, is established using results on measurable selection theorems for measurable multi- functions. ...
  • A Model for Chagas Disease with Oral and Congenital Transmission 

    Coffield, Daniel; Spagnuolo, Anna Maria; Shillor, Meir; Mema, Ensela; Pell, Bruce; Pruzinsky, Amanda; Zetye, Alexandra (2013-06)
    This work presents a new mathematical model for the domestic transmission of Chagas disease, a parasitic disease affecting humans and other mammals throughout Central and South America. The model takes into account congenital ...
  • Dynamic contact of two GAO beams 

    Ahn, Jeongho; Kuttler, Kenneth; Shillor, Meir (2012-11)
    The dynamic contact of two nonlinear Gao beams that are connected with a joint is modeled, analyzed, and numerically simulated. Contact is modeled with either (i) the normal compliance condition, or (ii) the unilateral ...
  • Regularity result for the problem of vibrations of a nonlinear beam 

    M'Bengue, M.F.; Shillor, Meir (2008-02)
    A model for the dynamics of the Gaonon linear beam, which allows for buckling, is studied. Existence and uniqueness of the local weak solution was established in Andrews et al. (2008). In this work the further regularity ...
  • Dynamic contact with normal compliance wear and discontinuous friction coefficient 

    Shillor, Meir (2002-08)
    We apply the recent theory of evolution inclusions forset-valued pseudomonotone maps, developed in Kuttler and Shillor[Commun.Contemp.Math.,1(1999),pp.87–123]to the problem of dynamic frictional contact with normal compliance ...
  • Mathematical model for outgassing and contamination 

    Shillor, Meir (1991-10)
    A model for the mathematical description of the processes of outgassing and contamination in a vacuum system is proposed. The underlying assumptions are diffusion in the source, convection and diffusion in the cavity, mass ...
  • A frictional contact problem for an electro-viscoelastic body 

    Lerguet, Zhor; Shillor, Meir; Sofonea, Mircea (2007-12)
    A mathematical model which describes the quasistatic frictional contact between a piezoelectric body and a deformable conductive foundation is studied. A nonlinear electro-viscoelastic constitutive law is used to model the ...
  • A one-dimensional spot welding model 

    Andrews, K.T.; Guessous, L.; Nassar, S.; Putta, S.V.; Shillor, Meir (2006-11)
    A one-dimensional model is proposed for the simulations of resistance spot welding, which is a common industrial method used to join metallic plates by electrical heating. The model consists of the Stefan problem, in ...
  • Dynamic contact with Signorini's condition and slip rate dependent friction 

    Kuttler, Kenneth; Shillor, Meir (2004-06)
    Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a ...
  • Ultrasonic Parameters as a Function of Absolute Hydrostatic Pressure. II. Mathematical Models of the Speed of Sound in Organic Liquids 

    Oakley, B; Hanna, D; Shillor, Meir; Barber, G (2003-09)
    Polynomial expressions for the speed of sound as a function of pressure for 68 different organic liquids are presented in tabular form. The liquids form a subset of those discussed in the companion paper: Ultrasonic ...