We present a preliminary study of a new phenomena associated with the Euler-Poisson equations — the so called critical threshold phenomena, where the answer to questions of global smoothness vs. finite time breakdown depends on whether the initial configuration crosses an intrinsic, O(1) critical threshold. We investigate a class of Euler-Poisson equations, ranging from one-dimensional problem ...

Experiments have shown that the interaction of deformation waves propagating through heterogeneous energetic solids with confining boundaries can result in combustion of these materials. Wilson, et al. [1], observed ignition at an anvil-explosive interface while loading an explosive with shock levels below the plane shock initiation threshold. These observations are of practical significance si...

brid populations. J Hered 75:45-50. Mejla-Jimenez A, Munoz C, Jacobsen HJ, Roca WM, and Singh SP, 1994. Interspecific hybridization between common and tepary beans: Increased hybrid growth, fertility, and efficiency of hybridization through recurrent and congrulty backcrosslng. Theor Appl Genet 88: 324-331. Mildas PN, Rosas JC, Beaver JS, Telek L, and Freytag GF, 1994. Field performance o( sele...

p53 messenger RNA expression was examined using a cDNA probe in 76 fresh primary breast tumour specimens, 15 of which came from patients treated with taxoxifen prior to surgery. A 2.8 kb mRNA for p53 was expressed in 43 of the 76 specimens. In 19 tumours the levels were similar to those seen in non-malignant (reduction mammoplasty) breast tissue, but in 24 tumours over-expression of mRNA for p5...

The aim of these notes is to present some results on the stability of finite difference approximations of hyperbolic initial boundary value problems. We first recall some basic notions of stability for the discretized Cauchy problem in one space dimension. Special attention is paid to situations where stability of the finite difference scheme is characterized by the so-called von Neumann condit...

Title of dissertation: PROBLEMS IN DISTRIBUTED CONTROL SYSTEMS, CONSENSUS AND FLOCKING NETWORKS Somarakis Christoforos, Doctor of Philosophy, 2015 Dissertation directed by: Professor John S. Baras Department of Electrical & Computer Engineering The present thesis discusses the consensus problem from a unification perspective. A general stability theory is developed discussing the majority of li...

New convenient stability criteria are provided in this paper for a large class of finite-difference approximations to initial-boundary value problems associated with the hyperbolic system u, = Auv + flu + f in the quarter plane x > 0, t > 0. Using the new criteria, stability is easily established for numerous combinations of well-known basic schemes and boundary conditions, thus generalizing ma...

We have carried out a psychophysical experiment to register perceived contrast. 17 observers viewed 15 images, each image was shown for 40 seconds where the observer stated the perceived contrast of the image. The results from the observers indicate that the consensus of contrast among experts decreases as the perceived contrast decreases. Experts also rate the contrast higher then non-experts....

Easily checkable sufficient stability criteria are obtained for explicit dissipative approximations to mixed initial-boundary value problems associated with the system Uf = Aux in the quarter plane x > 0, t > 0. The criteria are given entirely in terms of the boundary conditions for the outflow unknowns. The results imply that certain well-known boundary conditions, when used in combination wit...

WHERE WE ARE IN MODELING MECHANICAL, TRAFFIC, AND SOCIO-ECONOMICAL DISCRETE SYSTEMS Discrete systems have been firstly introduced in physics (Fisher and Wiodm, 1969; Noor and Nemeth, 1980; Adhikari et al., 1996; Kornyak, 2009) to simulate materials at the microand nano-scales where a continuum description of matter breaks down. The constituents can be atoms or molecules and their interactions a...