Homogenizing the viscoelasticity problem with long-term memory
Владлена Валерьевна Шумилова · Mathematical Notes · 2013
The system of integro-differential equations describing the small oscillations of an ɛ-periodic viscoelastic material with long-term memory is considered. Using the two-scale convergencemethod, we construct the systemof homogenized equations and prove the strong convergence as ɛ → 0 of the solutions of prelimit problems to the solution of the homogenized problem in the norm of the space L 2.