Communications in Information and Systems

Volume 13 (2013)

Number 2

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



Constantine M. Dafermos (Division of Applied Mathematics, Brown University, Providence, Rhode Island, U.S.A.)


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 $t \to \infty$.

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