Distributed optimal control of a nonstandard system of phase field equations

We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the presence of diffusion; it has been recently introduced by the same authors in arXiv:1103.4585v1 [math.AP] and consists of a system of two highly nonlinearly coupled PDEs. For this reason, standard arguments of optimal control theory do not apply directly, although the control constraints and the cost functional are of standard type. We show that the problem admits a solution, and we derive the first-order necessary conditions of optimality.Comment: Key words: distributed optimal control, nonlinear phase field systems, first-order necessary optimality condition

Tensile Properties of the Individual Phases in Unreacted Multifilament Nb3_{3}Sn Wires

The room temperature elastic and plastic properties under uniaxial tensile loading of the different phases of an un-reacted, internal-tin process, Nb$_{3}$Sn wire have been determined by tensile tests of whole wires and of extracted Ta, Nb and Nb alloy filaments, as well as by indentation hardness measurements in metallographic wire cross sections

Third grade studies of agricultural engineering in Europe

W pracy przedstawiono przegląd wymagań i zasad prowadzenia studiów trzeciego stopnia z zakresu inżynierii rolniczej w Europie. Są one bardzo zróżnicowane. Objawia się to zarówno w okresie trwania (6-10 semestrów), liczbie obowiązkowych i wybieralnych przedmiotów oraz w stosowaniu europejskiego systemu transferu punktów. Dotyczy to również zasad i formy przedłożonej rozprawy oraz organizacji obrony. Przeważa pogląd, że nie należy tworzyć jednolitych zasad dla studiów trzeciego stopnia w Europie, gdyż mogło by to doprowadzić do ograniczenia niezależności badań naukowych.The work presents a review of requirements and rules for organising the third grade studies in the agricultural engineering in Europe. They are highly diversified. This is visible in duration (6-10 semesters), the number of compulsory and selectable subjects, and in applying the European Credit Transfer System. This also applies to the rules and form of submitted dissertation and defence organisation. It is commonly believed that no uniform rules should be established for third grade studies in Europe, since this may lead to limitation of scientific research independence