Despite many computer based codes like CHEETAH, TIGER, RUBY, BKW, etc. the velocity of detonation (VOD) for explosive molecules and explosive mixtures (formulations) is estimated by several empirical formulations. This article discusses various approaches for the estimation of the velocity of detonation by empirical mathematical equations. The formulation proposed by Kamlet in 1968 is the oldes...

This thesis focuses on the numerical solution of a kinetic description of small scale dilute gas flows when the Navier-Stokes description breaks down. In particular, it investigates alternative solution techniques for the Boltzmann equation typically used when the Knudsen number (ratio of molecular mean free path to characteristic length scale of flow) exceeds (approximately) 0.1. Alternative s...

The Einstein-Vlasov System Cosmic Censorship Håkan Andreasson A central problem in general relativity is the cosmic censorship conjecture, i.e. the question about uniqueness in the large. This concerns the global properties of spacetime and a necessary prerequisite for attacking this problem is to obtain global existence results. In general this seems too difficult and symmetry assumptions on s...

— In this work, we consider a simple differential operator as well as perturbations. While the spectrum of the unperturbed operator is confined to a line inside the pseudospectrum, we show for the perturbed operators that the eigenvalues are distributed inside the pseudospectrum according to a bidimensional Weyl law. Table des matières Introduction. . . . . . . . . . . . . . . . . . . . . . . ....