The LTE Saha–Boltzman plasma ionization balance model and the Braginskii plasma electric resistance model are compared with the results by the suit of codes based on the average atom model, which is a quantum-mechanical version of the Temperature Dependent Thomas–Fermi Theory. The analysis is focused on low-Z Al, mid-Z Cu and higher-Z Mo plasmas in a broad ranges of electron temperature Te and ...

In this paper we solve the problem of the identification of a coefficient which appears in the model of a distributed system with persistent memory encountered in linear viscoelasticity (and in diffusion processes with memory). The additional data used in the identification are subsumed in the input output map from the deformation to the traction on the boundary. We extend a dynamical approach ...

This paper considers the problem of expressing predicate calculus in connectionist networks that are based on energy minimization. Given a firstorder-logic knowledge base and a bound k, a symmetric network is constructed (like a Boltzman machine or a Hopfield network) that searches for a proof for a given query. If a resolution-based proof of length no longer than k exists, then the global mini...

2 Systems of conservation laws have the form ∂ t u+div x q = 0. They describe processes in many situations of the real life, including continuum mechanics. A system is in closed form when the flux q is given in terms of u. An algebraic equation of state q := f (u) yields a quasilinear first-order system. But a more accurate description involves a dissipative mechanism, through various additiona...

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...