Relations between stochastic and partial differential equations in hilbert spaces

The aim of the paper is to introduce a generalization of the Feynman-Kac theorem in Hilbert spaces. Connection between solutions to the abstract stochastic differential equation d X (t) = A X (t) d t + B d W (t) and solutions to the deterministic partial differential (with derivatives in Hilbert spaces) equation for the probability characteristic t, x h (X (T)) is proved. Interpretation of objects in the equations is given. © 2012 I. V. Melnikova and V. S. Parfenenkova

Modeling Earthen Dike Stability: Sensitivity Analysis and Automatic Calibration of Diffusivities Based on Live Sensor Data

The paper describes concept and implementation details of integrating a finite element module for dike stability analysis Virtual Dike into an early warning system for flood protection. The module operates in real-time mode and includes fluid and structural sub-models for simulation of porous flow through the dike and for dike stability analysis. Real-time measurements obtained from pore pressure sensors are fed into the simulation module, to be compared with simulated pore pressure dynamics. Implementation of the module has been performed for a real-world test case - an earthen levee protecting a sea-port in Groningen, the Netherlands. Sensitivity analysis and calibration of diffusivities have been performed for tidal fluctuations. An algorithm for automatic diffusivities calibration for a heterogeneous dike is proposed and studied. Analytical solutions describing tidal propagation in one-dimensional saturated aquifer are employed in the algorithm to generate initial estimates of diffusivities

Summary of the socio-cultural rights from the point of psychology

Man - the heir to the preceding life in the progressive course of human civilization. He - a product of the environment, active and passive training of volitional behavior and attention. It's his way of thinking and reflecting the work of thought to the development of opinions, wealth of personal consciousness of each "I". The process of development of the personality traits of forms, property, habits, moral standards and meet the requirements of the modern paradigm of values and cultural tradition

Generalized solutions of differential-operator equations with singular white noise

In various distribution spaces, we study the Cauchy problem for the equation u′(t) = Au(t)+BW(t), t ≥ 0, with a singular white noise W and an operator A generating various regularized semigroups in a Hilbert space. Depending on the properties of the operator A, we construct solutions generalized separately and jointly with respect to the time, random, and "space" variables. © 2013 Pleiades Publishing, Ltd

Investigation of industrial compositions SONKOR as corrosion inhibitors of mild steel in neutral media containing hydrogen sulfide

Electrochemical and corrosion behavior of mild steel in neutral media containing hydrogen sulfide has been investigated by weight-loss and electrochemical methods and protective effect of industrial compositions SONKOR has been determined. It has been shown that in 3 % NaCl compositions SONKOR have weak protective effect but it increases greatly in presence of hydrogen sulfide in the solution. At concentration of H2S = 0,6 gram per liter maximal protective effect has SONKOR 9801 (85.57 %) and SONKOR 9920А (81.97 %). Inhibitors SONKOR 9021С (70.82 %), 9510А (73.11 %) и 9701 (67.87 %) show less protective effect

Slope Instability of the Earthen Levee in Boston, UK: Numerical Simulation and Sensor Data Analysis

The paper presents a slope stability analysis for a heterogeneous earthen levee in Boston, UK, which is prone to occasional slope failures under tidal loads. Dynamic behavior of the levee under tidal fluctuations was simulated using a finite element model of variably saturated linear elastic perfectly plastic soil. Hydraulic conductivities of the soil strata have been calibrated according to piezometers readings, in order to obtain correct range of hydraulic loads in tidal mode. Finite element simulation was complemented with series of limit equilibrium analyses. Stability analyses have shown that slope failure occurs with the development of a circular slip surface located in the soft clay layer. Both models (FEM and LEM) confirm that the least stable hydraulic condition is the combination of the minimum river levels at low tide with the maximal saturation of soil layers. FEM results indicate that in winter time the levee is almost at its limit state, at the margin of safety (strength reduction factor values are 1.03 and 1.04 for the low-tide and high-tide phases, respectively); these results agree with real-life observations. The stability analyses have been implemented as real-time components integrated into the UrbanFlood early warning system for flood protection

Arterial hypertension as a predictor of morpho- densitometric changes development in rats` solitary-vagal complex

The components of the dorsal vagal complex: the nucleus of the solitary tract (NST) and the dorsal motor nucleus (DMN) are key structures in BP regulation. The maintenance of BP normal level depends on functional state of these structures. it is possible to estimate the neuron morpho-functional state not only with direct electrophysiological methods but also analyzing the nucleus size and nucleic acid (NA) concentration in it. Therefore, the aim of our work was to determine the features of morpho-densitometric indices in the nuclei of the NST and DMN neurons in AH of various origins in experimental animals and to give a comparative analysis of these data. Materials and methods: the study was carried out on 30 mature male rats: 10 control Wistar rats, 10 Wistar rats with modeled endocrine-salt AH (ESAH) and 10 spontaneously hypertensive rats (SHR) which are well-established model of human essential arterial hypertension (EAH). The histochemical method of staining with gallocyanine-chrome alum by Einarson was used for the evaluation of morpho-densitometric characteristics of the DMN and NTS neurons` nuclei: the nucleus area, the content and concentration of nucleic acids in the nucleus. Conclusions: The following conclusions can be made as a research result: 1. Morpho-densitometric changes occur in NTS and DMN in arterial hypertension, regardless of its pathogenesis. 2. The most distinct changes of the studied indices of neurons` nuclei were observed in DMN of the rats with EAH. Although only the neurons` nuclei area significantly changed in the NTS. The distribution of neurons` nuclei by their area in DMN and NTS in SHR rats showed a downward trend. 3. Significant decrease in all morpho-densitometric characteristics of the neurons` nuclei is observed in the DMN in the rats with an ESAH. The distribution of neurons` nuclei by their area showed a tendency to decrease. In the nuclei of NST neurons, only the content and concentration of NA were reliably low in comparison with control animals. The distribution curve of neurons by the area of their nuclei in ESAH rats is characterized by wider variability of size than in the control group

Volunteering as a form of the youth movement in development of social communities

The necessity of volunteering development among youth as a form of manifestation of civil society is considered in this article. The idea of voluntary activity can become not only the image of expression of free aid to society, but also it can be a valuable reference point, promoting honor, patriotism and humanity. Also the importance of system work of government bodies and comprehensive programs creation for volunteers support is emphasized.В статье рассматривается необходимость развития института волонтерства среди молодежи как формы проявления гражданского общества. Идея добровольческой деятельности может стать не только образом выражения безвозмездной помощи обществу, но и ценностным ориентиром, пропагандируя честь, патриотизм и человечность. Также подчеркивается важность формирования системной работы государственных органов и создание комплексных программ поддержки волонтеров

Distributed simulation of city inundation by coupled surface and subsurface porous flow for urban flood decision support system

We present a decision support system for flood early warning and disaster management. It includes the models for data-driven meteorological predictions, for simulation of atmospheric pressure, wind, long sea waves and seiches; a module for optimization of flood barrier gates operation; models for stability assessment of levees and embankments, for simulation of city inundation dynamics and citizens evacuation scenarios. The novelty of this paper is a coupled distributed simulation of surface and subsurface flows that can predict inundation of low-lying inland zones far from the submerged waterfront areas, as observed in St. Petersburg city during the floods. All the models are wrapped as software services in the CLAVIRE platform for urgent computing, which provides workflow management and resource orchestration.Comment: Pre-print submitted to the 2013 International Conference on Computational Scienc