This thesis studies the so-called “criticality problem”, an important generalised eigenvalue
problem arising in neutron transport theory. The smallest positive real eigenvalue of the …

The main aim of this paper is to investigate some aspects of the spectral properties of
strongly continuous semigroups generated by linear transport operator. These properties …

We investigate the spectral properties of the time‐dependent linear transport equation with
bounce‐back boundary conditions. A fine analysis of the spectrum of the streaming operator …

This dissertation is devoted to investigating the time dependent neutron transport equations
with reflecting boundary conditions. Two typical geometries—slab geometry and spherical …

The time dependent neutron transport equation in a nonhomogeneous slab with
generalized boundary conditions in the setting of L 1is studied. For the transport operator A …

В монографии освещены вопросы нестационарного переноса поляризованного
излучения в рассеивающих средах ограниченных объемов. Изложены теоретические …

We adopt here the idea of describing a radiation field by means of the radiation energy
density E and the radiative flux vector F which must satisfy a set of evolution equations; in …

The existence and simplicity are proved for the critical eigenvalue of aspherical system with
specularly reflection boundary condi-tions, starting from the one-dimensional integral form of …

In this paper, the spectral properties of the one-velocity transport operator and the streaming
operator with integral boundary condition of Maxwell type in a sphere are considered. It is …

In this paper, the spectrum of a transport operatorAin a slab with integral boundary
conditions of Maxwell type is discussed in its natural spaceL1 (G). It is shown that the …