Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.
Hearing the shape of a general convex domain: an extension to higher dimensions
Homogenization of the criticality spectral equation in neutron transport
Homogenization of the criticality spectral equation in neutron transport
We address the homogenization of an eigenvalue problem for the neutron transport equation in a periodic heterogeneous domain, modeling the criticality study of nuclear reactor cores. We prove that the neutron flux, corresponding to the first and unique positive eigenvector, can be factorized in the product of two terms, up to a remainder which goes strongly to zero with the period. One term is the first eigenvector of the transport equation in the periodicity cell. The other term is the...
Hypoelliptic operators with characteristic variety of codimension two and the wave equation