Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 83, pp. 1-21.

Title: Dynamic contact with Signorini's condition and
       slip rate dependent friction

Authors: Kenneth Kuttler (Brigham Young Univ., Provo, UT, USA)
         Meir Shillor    (Oakland Univ., Rochester, MI, USA)
 
Abstract:
 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 slip rate dependent friction coefficient
 and a nonlocal and regularized contact stress. The existence in
 the case of a friction coefficient that is a graph, which describes
 the jump from static to dynamic friction, is established, too.
 The proofs employ the theory of set-valued pseudomonotone operators
 applied to approximate problems and a priori estimates.
  
Submitted October 15, 2003. Published June 11, 2004.
Math Subject Classifications: 74M10, 35Q80, 49J40, 74A55, 74H20, 74M15.
Key Words: Dynamic contact; Signorini condition; slip rate dependent
           friction; nonlocal friction; viscoelastic body; existence.