卷 74, 编号 6 (2019)
- 年: 2019
- 文章: 4
- URL: https://journals.rcsi.science/0027-1330/issue/view/10045
Article
Integrable Systems with Many Degrees of Freedom and with Dissipation
摘要
The integrability of certain classes of dynamical systems on the tangent bundle of a multidimensional manifold is shown. In this case, the force fields with variable dissipation generalize those considered earlier.
Oil Displacement by Water-Gas Mixtures with Heat Release
摘要
Some numerical results obtained by modeling the thermogas displacement of oil from a porous reservoir are discussed. The displacement is performed by a heated water-gas mixture. The injected two-component gas consists of nitrogen and oxygen. Heat, carbon dioxide, and water vapors are released during the reaction process. The heat release decreases the oil viscosity and accelerates the displacement process.
Inertial Reference Frames for Subsystems of Deformable Bodies
摘要
It is assumed that a certain reference frame is inertial for a system of moving and interacting bodies called a large system. In the framework of classical continuum mechanics, some necessary and sufficient conditions are obtained for the existence of a reference frame for a subsystem of this large system considered as an independent large system. The motion of such a new reference frame with respect to the old reference frame (with the accuracy up to the Galilean transformations) is specified.
Minimax Optimization for a System of Line-of-Sight Stabilization
摘要
The minimax problem of stabilization is solved for a line of sight near a programmed trajectory. The motion of this line is described by a system of fourth-order linear differential equations. In this problem, the perturbations are considered as the deviations of the initial position from zero and as time-varying perturbations. The stabilization is performed by a linear feedback. The feedback coefficients are obtained as optimal for the worst possible perturbations.