Description
Title: Bloch Wave Homogenization of Almost Periodic Operators
Speaker: Vivek Tewary, PhD student, Department of Mathematics, IIT Bombay,
Time: 4 p.m.- 5p.m., 11-10-18, Thursday.
Venue: Room 215, Department of Mathematics
Abstract: Bloch wave homogenization is a spectral method for obtaining
effective coefficients for periodically heterogeneous media. This method
hinges on the direct integral decomposition of periodic operators, which
is not available in a suitable form for almost periodic operators. In
particular, the notion of Bloch eigenvalues and eigenvectors does not
exist for almost periodic operators. However, we are able to recover the
homogenization result in this case, by employing a sequence of periodic
approximations to the almost periodic operator.