[EN] Optical tomography has found many medical applications that need to know how the photons interact with the different tissues. The majority of the photon transport simulations are done using the diffusion approximation, ...

PL equations are classical approximations to the neutron transport equations, which are obtained expanding the angular neutron flux in terms of spherical harmonics. These approximations are useful to study the behavior of ...

In this paper we characterize the dual $\bigl(\B^c_{p(\cdot)} (\Omega) \bigr)'$ of the variable exponent H\"or\-man\-der space $\B^c_{p(\cdot)} (\Omega)$ when the exponent $p(\cdot)$ satisfies the conditions $0 < p^- ...

[EN] The validity of the spherical harmonics-nodal collocation approximation to the stationary Boltzmann equation has been established in multi-dimensional neutron transport problems. This is a high-order approximation ...

[EN] A classical discretization for the angular dependence of the neutron transport equation is based on a truncated spherical harmonics expansion. The resulting system of equations are the PL equations. We review the ...

In this article we introduce the variable Lebesgue spaces of entire analytic functions Lp({dot operator})K. A maximal inequality of Jawerth is generalized to our context and inequalities of Plancherel-Polya-Nikol'skij type ...

[EN] The diffusion approximation to the time-dependent Boltzmann transport equation gives accurate results for traditional nuclear reactor designs, but new reactor designs and new fuel elements require neutron transport ...