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Homogenization in elastodynamics with force term depending on time. (English) Zbl 0951.35039

Summary: We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time. By technically constructing an approximating sequence, we are able to show the convergence of semigroups and prove as main result that such spongy material can be approximated by an elastic material without holes in the elastodynamics with the force term depending on time.

MSC:

35J50 Variational methods for elliptic systems
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
76M50 Homogenization applied to problems in fluid mechanics
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