Global Existence and Asymptotics in One-Dimensional Nonlinear Viscoelasticity.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In this paper we survey recent results concerning global existence and decay of smooth solutions of certain quasilinear hyperbolic Volterra equations which provide models for the motion of one-dimensional viscoelastic solid of the Boltzmann type. We also sketch the derivation of these equations from physical principles, discuss the physically appropriate assumptions, and prove a special case of a new existence theorem for the Cauchy problem. Author
- Numerical Mathematics