Isaac Newton Institute for Mathematical Sciences

Wave propagation in networks of thin fibres: small diameter asymptotics.

5th June 2007

Author: Boris Vainberg (North Carolina, Charlotte)


We consider the Laplace equation in systems of wave guides with arbitrary boundary conditions, when the diameter of the wave guides is vanishing. The asymptotic behavior of scattering solutions and the resolvent on the bulk of the spectrum and near the treshold will be discussed, as well as asymptotic behavior of the solutions of some non-stationary problems. This is a joint work with S. Molchanov (UNCC)