International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 723-728
Homogenization in elastodynamics with force term depending on time
Department of Mathematics, Pennsylvania State University, Schuylkill, Schuylkill Haven 17972, PA, USA
Received 28 September 1998
Copyright © 2000 Ping Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 therefore prove the 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.