| Abstract: |
| We consider the system of viscoelasticity with higher-order gradients and nonconvex energy in several space dimensions. After deriving the compactness estimates for the system, we first establish global existence of weak solutions. We then study the asymptotic limits as the viscosity tends to zero or as the coefficient of the higher-order gradient vanishes. In the latter problem and for the two-dimensional case, we also prove a stability result for the solutions in the regularity class and establish a rate of convergence. |
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