Global Nonexistence of Classical Solutions in One-Dimensional Nonlinear Viscoelasticity.
MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS
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Results are presented which show that smooth global solutions of the one-dimensional nonlinear viscoelasticity initial-boundary value problem cannot exist in the smoothness. The physical implication is that in the deformation of a nonlinear viscoelastic bar a shock will develop if the initial displacement is sufficienty small but has a sufficiently large gradient. Author