On asymptotic expression for velocity field of atmosphere gas perturbed by 1D acoustic wave
The problem of 1D acoustic wave initiation by a rise of water masses is formulated as a boundary problem at half space . The atmosphere is modeled as a multi-layer gas with an exponential structure of density in each layer. The boundary conditions at determine the direction of propagation, by link between dynamic variables (pressure, density, and velocity) of the wave. It defines the dynamic projection operators on the subspaces of z-evolution for each layer. The universal ...
On the problem of evaluating the accuracy of di-agnostics of wave disturbances carried out using the technique of projection operators
... allows to project the approximation onto the subspace of observations. The use of the same scalar product yields the norm that we use to estimate error deviations within the model under consideration. Its minimum defines both a function reconstruction and its error, which also include the measurements errors. The results we apply to the problems of reconstruction of initial or boundary conditions for 1D wave equation, that imply the procedure of directed waves division.
Vereshchagina I. S., Vereshchagin S. D.
atmosphere, diagnostics of disturbances, projection operators, math modeling
Mathematical model of transportation of relativistic electronic beams. Analogy to the equations of gas dynamics
... relativistic electron beam (REB), the modeling transportation processes in the gas environment and the equations of gas dynamics of ideal polytropic gas was carried out. The found... ... specify mathematical statement of a problem for REB and to facilitate a choice of edge conditions of the task.
1. Lee E. P. Kinetic theory of a relativistic beams // Phys... ...
relativistic electron beam, distribution function, moment’s equations, hyperbolic system, initial and boundary conditions, gas dynamics, gas stream.
Numerical study of distribution of an impurity on watercourse with diffuse pollution
The diffuse pollution is considered taking into account the lateral inflow. In the calculation scheme, the impurity has a small inertia, the deposition of particles is steady. Background values are set as initial conditions for the concentration and in the initial section of the watercourse, and the intensity of the diffuse discharge along the shoreline is set. The results of solving the boundary value problem by numerical method in Mathcad are presented. The results of the study of the profiles ...
Poland’s Foreign Policy Mechanisms: Legal Framework and Policy Analysis
... paid to the foreign policy mandate of the president, government, and minister of foreign affairs and the procedure for devising ... ... associated with a multi-tier decision-making procedure and blurred boundaries between foreign policy mandates conferred by the Constitution ... ... Poland on cooperation of government and the voivodships in the initiatives of international cooperation on 17 April 2012, 2012,... ... polskiej polityki zagranicznej w pierwszej dekadzie XXI wieku [Conditions and directions of Polish foreign policy in the first ...