Nonstationary flow for the Navier-Stokes equations in a cylindrical pipe

In cylindrical domain, we consider the nonstationary flow with prescribed inflow and outflow, modelled with Navier-Stokes equations under the slip boundary conditions. Using smallness of some derivatives of inflow function, external force and initial velocity of the flow, but with no smallness restrictions on the inflow, initial velocity neither force, we prove existence of solutions in $W^{2,1}_2.

The Distribution and Dispersion of Debt Burden Ratios Among Households in Poland and its Implications for Financial Stability

Debt burden ratio as measured on the aggregate level does not give an adequate assessment of the ability of the household sector to repay its debt. The low level of financial deepening in Poland is primarily reflected in a low percentage of households that have been granted a loan. Therefore, the average debt burden for households, which have any debt outstandings could be much higher than the one measured on the aggregate level. If the debt is concentrated among groups of households with lower incomes, it can threat the financial stability in case of FX or interest rate shocks. Using the data from Polish Households Budget Survey we first define three different measures of debt burden and calculate its dispersion in time and distribution among income groups. We find that (1) the total debt service burden and loan service burden ratios are on lower levels than in other European countries and recently have not risen substantially, (2) the mortgage debt service burden ratio has been rapidly increasing in the last four years especially in lower income groups of households reaching in 2004 the 3/4 of the level noted in EU-15. In comparison with EU it seems that the level of indebtedness of house- holds in Poland is on a secure level. However, we notice that the secure level of debt burden ratio is on a lower level in emerging market countries than in wealthier countries because of the higher share of basic living costs in total consumption expenditure. Therefore, the increasing levels of mortgage debt service ratios in lower-income groups could pose a potential threat to the financial stability in case of FX or interest rate shock.Financial stability; debt burden; sebt service burden; haousehold indebtedness

Resonance Vibrations of an Elastic System Supported on a Textile Layer

The vibrations of a flexible system resting on a layer of fibres are investigated in this paper. A mathematical model of the system excited by an electromagnet supplied with an alternating current is formulated. Two resonance regions are found. In one region the frequency of the varying contact force is twice the supply electric current frequency. In the other region the frequency of vibration is equal to that of the current. At the resonances the system loses contact with the layer at the moment when the reaction force becomes equal to zero

EU Military Operations as a Tool in the EU's Foreign Policy Toolbox - The Main Trends and Limitations

The main aim of the article is to characterise and analyse EU military operations, taking into account their objectives, assumptions, successes as well as their limitations and weaknesses. The author focusses his research on EU activities in Sub-Saharan Africa. The following research questions were posed: what is the specificity and characteristic features of EU military crisis management operations; to what extent and in what direction are military operations launched by the EU evolving; in what way do EU military operations influence the perception of the EU as a civilian and normative power and affect the development of the EU as a security actor; what are the main limitations and weaknesses of EU military operations; what is their future in EU foreign policy? The author applied the following research methods: factorial, comparative, scenario, quantitative, and qualitative analysis. The main conclusion is that the EU's military operations and its military training missions should solely be perceived as one of the elements (measures) in EU foreign policy. As has been indicated in the title of the article, they are "a tool in the EU’s foreign policy toolbox"

Wstęp

Zadanie pt. Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę

Wstęp

Zadanie pt. Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę