Communications in Information and Systems
Volume 13 (2013)
Special Issue in Honor of Marshall Slemrod: Part 2 of 4
Asymptotic behavior of BV solutions to the equations of nonlinear viscoelasticity
Pages: 201 – 209
It is shown that the total variation of admissible BV solutions to the Cauchy problem for a system modeling the equations of motion of one-dimensional nonlinear viscoelastic media with fading memory decays to zero as $t \to \infty$.