摘要

We prove the local in time existence of regular solutions to the system of equations of isothermal viscoelasticity with clamped boundary conditions. We deal with a general form of viscous stress tensor Z (F, (F) over dot), assuming a Korn-type condition on its derivative D((F) over dot)Z(F, (F) over dot). This condition is compatible with the balance of angular momentum, frame invariance and the Claussius-Duhem inequality. We give examples of linear and nonlinear (in (F) over dot) tensors Z satisfying these required conditions.

  • 出版日期2013-6