The relativistic Boltzmann equation for a constant differential cross section and with periodic boundary conditions is considered. The speed of light appears as a parameter c>c0 for a properly large and positive c0. A local existence and uniqueness theorem is proved in an interval of time independent of c>c0 and conditions are given such that in the limit c→+∞ the solutions converge, in a suita...

The goal of the project was to develop new methods to discover security vulnerabilities and security exploits. The research involved static analysis, dynamic analysis, and symbolic execution of software at both the source-code and machine-code levels. An aspect that distinguished the approach taken in the project from previous work was the attempt to uncover security problems due to differences...

A method of calculating the coupling impedance and the wake function of resistive beam pipes is given including the short-range behavior of the wake. The pipe is uniform longitudinally but the cross section is arbitrary. The beam is assumed to be ultra-relativistic. A simple computer code is written using the boundary element method. Some results for elliptic, rectangular and hyperbolic pipes a...

This work considers a reinforcement of a multiconnected domain representing the cross section of a cylindrical bar. Dirichlet boundary condition is imposed on its outer boundary and integral condition on its inner boundary. We assume that the reinforcement is periodic and has small thickness which is of the same order as the period. We describe the limiting behaviour of the reinforced structure...

L ike Berlin during the Cold War, the membrane of a single-celled C. elegans embryo is divided. But unlike Berlin, no barrier separates the two sections, Goehring et al. conclude (1) after discovering that PAR proteins can travel freely between the anterior and posterior domains of the membrane. The researchers tested several explanations for what preserves the difference between these domains ...