Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds

We study the late-time behavior of spherically symmetric solutions of the Yang-Mills equations on Minkowski and Schwarzschild backgrounds. Using nonlinear perturbation theory we show in both cases that solutions having smooth compactly supported initial data posses tails which decay as $t^{-4}$ at timelike infinity. Moreover, for small initial data on Minkowski background we derive the third-order formula for the amplitude of the tail and confirm numerically its accuracy.Comment: 7 pages, 3 figure

Medycyna i Społeczeństwo. Materiały konferencyjne

Ze wstępu: "Z inicjatywy i pod patronatem Krakowskiej Szkoły Wyższej im. Andrzeja Frycza Modrzewskiego w Krakowie odbyła się w styczniu 2003 r. konferencja naukowa lekarzy, farmaceutów, biochemików, filozofów, fizjopatologów, farmakologów i klinicystów, których rozważania skupiały się wokół obszernego tematu „MED YCYNAISPOŁECZEŃSTWO Spotkanie otworzył JM Rektor Prof. KSW dr hab. Zbigniew Maciąg. Rektor wyraził podziękowanie wykładowcom i wyraził głęboką nadzieję, że kolejny numer wydawnictwa Szkoły Acta Academiae Modrevianae, złożony z wybranych prac prezentowanych na konferencji, służył będzie społeczeństwu."(...

Rola zarządu w zabezpieczeniu stabilności ekonomiczno-społecznej przedsiębiorstwa

Chruściel T. J., Wyszomirski A. The role of the board in securing the economic and social stability of the enterpris

CFD and FEM Model of an Underwater Vehicle Propeller

Within the framework of the project for design and optimization of the Remotely Operated Vehicle (ROV), research on its propulsion has been carried out. Te entire project was supported by CFD and FEM calculations taking into account the characteristics of the underwater vehicle. One of the tasks was to optimize the semi-open duct for horizontal propellers, which provided propulsion and controllability in horizontal plane. In order to create a measurable model of this task it was necessary to analyze numerical methodology of propeller design, along with the structure of a propellers with nozzles and contra-rotating propellers. It was confronted with theoretical solutions which included running of the analyzed propeller near an underwater vehicle. Also preliminary qualitative analyses of a simplified system with contra-rotating propellers and a semi-open duct were carried out. Te obtained results enabled to make a decision about the ROVs duct form. Te rapid prototyping SLS (Selective Laser Sintering) method was used to fabricate a physical model of the propeller. As a consequence of this, it was necessary to verify the FEM model of the propeller, which based on the load obtained from the CFD model. Te article contains characteristics of the examined ROV, a theoretical basis of propeller design for the analyzed cases, and the results of CFD and FEM simulations

Karta wyników jako instrument progresywnego rozwoju przedsiębiorstw

Wyszomirski A., Chruściel T. J., Mania R. Scorecard as an instrument of progressive development of enterprise