We study the local stability of stratified, differentially-rotating fluids to axisymmetric perturbations in the presence of a weak magnetic field and of finite resistivity, viscosity and heat conductivity. This is a generalization of the Goldreich-Schubert-Fricke (GSF) double-diffusive analysis to the magnetized and resistive, triple-diffusive case. Our fifth-order dispersion relation admits a ...

Tearing-mode stability properties are investigated at marginal stability (u=0) for a rotating, nonrelativistic cylindrically symmetric ion layer immersed in an axial magnetic field B0 (r)^ = [B +Bs(r)]^ z Lz 0 Z Jz The analysis is carried out within the framework of a Vlasov-fluid model in which the electrons are described as a macroscopic, cold fluid, and the layer ions are described by the Vl...

We present a new family of stabilized methods for the Stokes problem. The focus of the paper is on the lowest order velocity-pressure pairs. While not LBB compliant, their simplicity and attractive computational properties make these pairs a popular choice in engineering practice. Our stabilization approach is motivated by terms that characterize the LBB “deficiency” of the unstable spaces. The...

PURPOSE Computed tomography (CT) performance as well as dose and image quality is directly affected by the x-ray spectrum. However, the current assessment approaches of the CT x-ray spectrum require costly measurement equipment and complicated operational procedures, and are often limited to the spectrum corresponding to the center of rotation. In order to address these limitations, the authors...

The paper elaborates on the mathematical model of electric power system with several synchronous generators and in this are presented by a non-linear model. By applying such model, impact manner supplying excitation generator’s angular stability was researched circumstances occurrence short circuit network. established enables analysis extensive disruptions for case generator separate self-exci...