Though in general the picture of formation of floods is clear and it is clear that they generally are defined by intensity and duration of rainfall over a river basin, but there is no mathematical approach, within which it was possible to predict for the concrete pool, the moment of approach of floods with sufficient advance time, still In our opinion, weakness of the existing mathematical models of floods is that they have "accumulative" character. We consider a flood as qualitatively new condition of the pool as accident. In work the new mathematical model of floods with the distributed parameters is received. It is shown that the offered mathematical model describes the mode with an exacerbation. It means that for final time the amount of moisture in the soil strives for infinity. Inflow of moisture happens much quicker than outflow and moisture doesn't manage to leave for a certain border and there is an accumulation (localization) of moisture that leads to accident emergence that is to the lood phenomena.

The article analyzes the current state and the degree of anthropogenic transformation of landscapes on the basis of the on modern method. In scientific research, the developed complex methodology for determining the dependence of anthropogenic transformation on the natural potential of landscapes was used. The land-uses analyzed in the case of landscapes of the Apanasenkovsky district of the Stavropol Territory, the anthropogenic load assessment completed, the dynamics of the change in the area of anthropogenically transformed lands is analyzed and changes in the state of natural complexes in landscapes are revealed. The assessment of the natural potential of the landscapes of the region will allow solving the tasks of increasing the productivity and eficiency of agriculture in the study area. The obtained results will allow to correct the land-use planning methods. The obtained results should be used for sustainable, balanced development of natural-anthropogenic geosystems that ensure the existence of nature and society in a state of equilibrium, which will allow for the equal consideration of ecological, economic and social criteria and the formation of an optimally balanced agricultural landscape with speciied parameters of functioning.

In case of modern geopolitical and economic conditions the tourist and recreational complex can act as the effective platform in realization and advance of tourist and recreational capacity of territory. The article defines the criteria and assesses the indicators of the level of tourism development and social-economic well-being of the municipal areas of the Eastern Priazovye by technique of the multidimensional comparative analysis with mathematical methods of standardization indicators. It was identiied the areas with a high level of tourism development and the areas that require the revitalization of the tourism industry. According to results, it can be argued that all areas of the Russian Azov Sea coast have high levels of social-economic well-being. In conclusion it was determinate that all municipal areas of the Russian Azov Sea coast have necessary social and economic conditions for development of tourist branch. In paper also used GIS-technologies for visualization of modern results. In conclusion were offered types of tourism which are expedient for developing on each group.

This article is devoted to the study of the links between the socio-economic efficiency of the development of the region and the migration activity of the population. The goal of the work is to develop a method for studying the influence of the economic factor on migration, by the form of a mathematical model. For this, there were used conventional methods of gravity modeling, scaling and criterial estimation. The purpose of the study is to identify the link between migration and socio-economic efficiency of the region through the use of gravity modeling. Akmola region, the region - where there was a steady trend of outflow of population was taken as the object of research. The method of the gravity modeling directed not on forecasting of migration, but on the formation of its pattern with the existing set of socio-economic indicators. As part of the study, statistical data were processed since 2000. According to the results of the study, the obtained gravity model completely relected the existing migration situation in the regions, and also allowed to identify administrative subjects, where it is necessary to study intra-district migration for the presence of centripetal movements of the population. At the end of the article, the conclusion and perspective directions of further studies of the inluence of the economic factor using gravity models are indicated.

Results of systematization and the analysis of various sources containing information on scales of distribution and danger of manifestation of floods in the North Caucasus are considered. It is shown that activization of these processes in the territory of the studied region happens generally at the expense of spring high waters and summer and spring floods. The characteristic of the occurred floods and consequences of their manifestation in the territory of territorial subjects of the Russian Federation within the studied region is given. Are analysed, the occurred for the last 25 years in the territory of the region, emergency situations caused by floods. It is shown that annually in the region there are about 2 emergencies caused by floods. The greatest number of hydrological emergencies occurs in the Karachay-Cherkess Republic (23,9 % of all emergencies in the region caused by floods), Kabardino-Balkar Republic (21,7 %) and the Republic of Dagestan (17,4 %). The smallest - in the Republic of Ingushetia and Stavropol Krai (on 6,5 %). Most often these emergency situations happen on the territory of the region in June (about 40 % of all emergencies of hydrological character) and May (26,0 %). For summer months 67,4 % of all emergencies in the region caused by loods are necessary.

Since the beginning of the 21st century there are many ambitious projects aimed at the revival of the historical transcontinental route of the Silk road. In these projects, much attention is paid to the development of tourism as one of the most effective mechanisms for strengthening cooperation between the countries. The UNWTO "Silk road" brought together 33 countries. On the one hand, is a colorful space, is rich in tourist destinations and tourism products, with a unique history, diversity of natural conditions and cultural traditions. On the other hand, this territory is radically different in terms of socio-economic development, which affects the state of the tourism industry. Allocated two nuclear of growth - Europe and Japan and rapidly developing countries of South-East Asia. In the mosaic space between these poles come as quite stable in economic terms, the country and the disadvantaged. To evaluate the tourist potential is defined by a set of indicators and the calculation of the integral characteristics, which enabled to distinguish 6 groups of countries. Their analysis is carried out and the regularities in their formation.

This article discusses the mechanism of formation of structures of tension, showing their connection with petroleum potential in the examples of construction of Geology-tectonic models using the concept of the nature of the structures of the Central type are identified the most effective methods of identification of structures of tension. Interpretation of structures stretching from the standpoint of the concept structures of the central type, allows to select the most promising areas not only in terms of rudo-petroleum potential, but also in terms of seismicity, which is of obvious practical importance. To assess the concepts about the structures of the stretching assembled factual material: data structures of stretching of various ranks in the Eastern and Western Ciscaucasia, and the Red Sea. Data of interpretation of space images of geological, geophysical and geochemical materials was processed, and geological-tectonic models of tensile structures of different rank were constructed.

The article gives the research of hail-hazardous and hail clouds naturally developing and actively affected by the crystal reagent particles of argentum iodide on the protected areas of militarized services of the analysis region. It was revealed that disastrous hailing on the protected area is caused by their ill-timed and insufficient treatment with anti-hail stuffs. The objective method of hail breaking on the protected areas based on estimating optimal application and firing rates in these clouds has been worked out. From 2003 to 2007 the method was being experimentally checked on the stuffs of the protected area of Stavropol militarized service on active hail influencing and other geophysical processes. It was successfully implemented into operational activities of this service. The average physical eficiency of anti-hail protection was estimated at 95.7%. This method can be recommended to different countries when planning and carrying out scientific, experimental and production activities on influencing hailing.

Clerain's ideas have been developed and the construction of differential relations of two nonlinear systems in partial derivatives has been realized. An analysis of a given system of equations of the third order is carried out. The general structure of the Backlund transformations is defined in the form of four differential equations. Differential couplings are defined so that they give the opportunity to get both systems. Proceeding from the fact that the initial system is linear in terms of the highest derivative of a spatial variable and contains only the irst-order derivative of the time variable, it was possible in the Baklund transformations to explicitly select the second derivatives with respect to the spatial variable and to clarify the relationship between the lower derivatives. It turned out that such connections are determined ambiguously. There are two honest cases that allow you to make a transition from one system to another.

The mathematical model of wave processes in an ideal incompressible liquid inside a cylindrical tube with a vibrating membrane on one end is presented in the article. It is shown that the external force applied to the membrane which is on the one end of the tube initiates its transverse forced vibrations which also initiate pressure disturbance inside the tube. The case of a harmonic external force at fixed frequencies is considered. The results of the influence of external forces of various distributions, including uniform and constant are analyzed. The analytical results for tube with circular and undefined sections are derived. Numerical simulation was carried out for the case of uniformed distribution on the surface of membrane of external harmonic force. It was found that maximum amplitude of forced vibrations is located near the tube edge where the membrane is fixed. As a rule, damping of wave occurs very quickly.

In work the interaction of a solid-phase fine aerosol cloud of charged par-ticlesatomized by means of the electrostatic spray with the liquid-phase and solid-phase weighed particles aerosol created in the pulse and pneumatic way is considered. Each method of dispersion allows to form a stream of the condensed particles for modeling real situations of formation of the harmful fine aerosol environments arising at accidents on the industry, extraordinary natural cataclysms, acts of terrorism, conducting military operations, etc. Introduction of charged particles to a neutral stream of a harmful aerosol causes the phenomenon of electrostatic coagulation, accelerating process sedimentation of such aerosol. For the purpose of determination of speed of sedimentation due to emergence of effect of electrostatic coagulation the pilot studies allowing to estimate change of dispersion and concentration of fine aerosol environments in the closed volume are conducted. Observation of emergence and development of coagulative processes in aerosols the laser measuring LID-2M complex was used. In the LID-2M installation the modification of an optical method of low-angle dispersion connected with the solution of a series of direct problems of optics of aerosols in a task about dispersion of a laser beam the disperse environment under small corners is realized.

An attempt is made to construct a 2 + 1 - dimensional nonlinear model that is a condition for the compatibility of a system of two first - order linear differential equations. The resulting equation is related to the operator L, A to the pair and the Lax equation, when the operator L contains differentiation with respect to only one variable and depends parametrically on two additional variables differentiation with respect to which enters into the operator A. We study the possibility of reducing the linear part to a parabolic form, and also transformation of coordinates leading to exponential nonlinearity. The resulting equation has an applied value, since it can be attributed to Toda-type diffusion chain models, the main feature of which is the presence of nonlinearities of exponential type in them. Such equations describe the transfer of a passive impurity, for example, heat in a turbulent medium with a nonlinear turbulent thermal conductivity coeficient.

A general form of all invariant submodels of rank 1 of the three-dimensional model of the Westervelt model of nonlinear hydroacoustics is obtained in the absence of dissipation. Some submodels, described by invariant solutions of rank 1 which are found either explicitly or their search is reduced to the solution of nonlinear integral equations. With the help of these submodels, various wave processes in nonstationary ultrasonic fields were investigated. Under certain conditions, the existence and uniqueness of the solutions of the boundary value problems describing these wave processes are established. Among the submodels studied, in particular, the following submodels are contained: a submodel that describes a "conical ultrasonic field"; a submodel, describing the "spiral ultrasonic field"; a submodel describing a "pulsating ultrasonic beam" initiated by singular directional sources; a submodel that describes a spherically symmetric ultrasonic field for which the rate of change of the acoustic pressure has a singularity at the center, although the acoustic pressure does not have of the singularity.

It was established that the positive effect of the systematic performance of muscle loads is more pronounced in relation to morpho-functional indicators of red blood cells. Both in young men and men aged 61-65 years, a significant increase in the number of erythrocytes, hemoglobin and hematocrit was recorded in comparison with peers with a low daily total volume of motor load. Physical loads slowed down the age-related changes in the morphofunctional indices of blood cells. Thus, in elderly men with high total motor activity, the mean red blood cell volume, the distribution of red blood cells in absolute values and in percent compared to peers with a low volume of motor activity were lower. In the group of men, 61-65 years of age, the lymphocyte count was significantly higher than in men of similar age, but ignoring exercise. In addition, in men with low total motor activity, low platelet counts, percentage of macroblot content and thrombocrit were determined.

In this paper we present the studies of various Jerusalem artichoke fractions, which can be successfully used as a component of nutrient media for the growth of acidophilic lactobacilli. The dependence of the growth of acidophilic microflora on the introduction of a fraction of carbohydrates, organic acids, amino acids from Jerusalem artichoke as stimulants has been revealed. The minimal stimulating concentrations of carbohydrates, organic acids, amino acids are determined, for all fractions they are 0.25%. The growth of bacteria in this case is 9.5%, 6%, 4.3%, respectively, compared with the control environment. According to the results of the study, it was shown that the isolated fractions exert a stimulating effect on the growth and development of microorganisms when adding to the culture medium. In this case, the most effective fraction is the carb of Jerusalem artichoke.

The article is devoted to the study of the functional state of the cerebral circulation at orthostasis in persons of young age with different localization of transition area in chest lead of ECG. Four groups of respondents, depending on the localization of transition area in chest lead of ECG: group 1 - V1-2; group 2 - V3; group 3 - V4-5; 4 group - undetermined localization. Registration of electrocardiograms and parameters of cerebral hemodynamic was performed using program complex «Valenta». Urgent mechanisms of the cerebral circulation are due to a slight increase in pulse blood brain in significant reduction venous outflow from the region. The influence of the local electrophysiological position of the heart on the regulation of cerebral blood flow was established. Unfavorable reaction of cerebral circulation at orthostasis was observed in respondents with the horizontal location of the heart (V1-2) and undetermined localization of transition area in chest lead of ECG.