Solvability analysis for the Boussinesq model of heat transfer under the nonlinear Robin boundary condition for the temperature.

We consider the new boundary value problem for the generalized Boussinesq model of heat transfer under the inhomogeneous Dirichlet boundary condition for the velocity and under mixed boundary conditions for the temperature. It is assumed that the viscosity, thermal conductivity and buoyancy force in the model equations, as well as the heat exchange boundary coefficient, depend on the temperature. The mathematical apparatus for studying the inhomogeneous boundary value problem under study based on the variational method is being developed.

Solving the characteristic initial-value problem for colliding plane gravitational and electromagnetic waves.

A method is presented for solving the characteristic initial-value problem for the collision and subsequent nonlinear interaction of plane gravitational or gravitational and electromagnetic waves in a Minkowski background. This method generalizes the monodromy-transform approach to fields with nonanalytic behavior on the characteristics inherent to waves with distinct wave fronts. The crux of the method is in a reformulation of the main nonlinear symmetry reduced field equations as linear integral equations whose solutions are determined by generalized ("dynamical") monodromy data which evolve from data specified on the initial characteristics (the wave fronts).

Infinite hierarchies of exact solutions of the einstein and einstein-maxwell equations for interacting waves and inhomogeneous cosmologies.

For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations as represented by their Ernst potentials. This hierarchy contains three arbitrary rational functions of an auxiliary complex parameter. They are constructed using the so-called "monodromy transform" approach and our new method for the solution of the linear singular integral equation form of the reduced Einstein equations.

[Criteria for prognosis of infectious complications of radiation injuries].

The results of comprehensive study of clinical, hematological, immunological, and bacteriological parameters in irradiated rats and dogs are presented. There is a growth of the automicroflora with decreases in leukocytes by 30-40%, lysozyme, beta-lysine, phagocytosis, total serum bactericidal activity by 10-20%. The appearance of pathogenic properties and resistance of Escherichia coli to antibiotics was observed with 60-70% reductions in the activity of nonspecific antiinfectious resistance and with 75-85% falls in neutrophils.

[The peripheral blood indices following penetrating wounds of the chest and abdomen and their prognostic significance].

Blood losses and traumatic stress provoke changes in cellular composition of blood. The greatest blood losses are more frequent in penetrating chest wounds than in penetrating abdominal injuries. A great number of wounded contract leukocytosis which is also more frequent among patients with chest wounds.

[Additive effect of repeated impulse air waves on the activity of rat and human hepatic enzymes].

Impulse air waves (IAW) applied in non-destructive and weakly destructive intensities reduced the activity of lysosomal and microsomal enzymes as well as the activity of adenylate cyclase in the liver of laboratory rats. Five times repeated single application of IAW in intensities causing no noticeable biochemical (and morphological) changes led to shifts in the activity of rat hepatic enzymes. IAW which failed to produce a biological effect in humans when applied separately, inhibited noticeably antipyrine biotransformation in volunteers when applied repeatedly 80 times.

[Use of UV-irradiated autologous blood in the treatment of patients with occlusive vascular diseases of the lower extremities].

Based upon the investigation of the hemogram, biochemical indices of blood and certain instrumental methods of research in patients with a critical form of obliterating diseases of lower extremity vessels, whose treatment included UVI of auto-blood, the authors have shown pronounced clinical efficiency of the method of treatment resulting in the improvement of theological properties of blood, microcirculation in tissues, less pain syndrome and rapid healing of trophic ulcers against the background of better condition of the patient. The method allowed the time of staying at the hospital to be substantially shortened.

[Effects of impulse hydrodynamic influences on blood cells in vitro and in vivo].

Impulse hydrodynamic influences (IHDI) resulted in an increase of accumulation of acridine organ, degranulation of neutrophils, decrease in adenylate cyclase and Na+, K+, Mg2(+)-dependent ATPase activities in the white blood cells of man and rat in vitro and in vivo. It was found that the cell's response to one-fold IHDI was more pronounced than to 5-fold IHDI. It was suggested that in certain conditions IHDI could lead to a decrease in reactivity of white blood cells.