Homogenization of structures with different velocities of particles

Abstract

This article considers a homogenization procedure for a case where on the interface between two materials the solution of the state equation is discontinuous, but the co-gradients are continuous. It is shown that for simple cases the standard theory of homogenization can be applied to describe properties of the corresponding composite.

Keywords:

• homogenization
• discontinuous solutions
• elliptic equation

AMS Subject Classification: :

• 35B27

Acknowledgement

This research was supported partially by Latvian Council of Sciences Grant No. 05.1385.