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The work presents the asymptotic solution of the system of differential equations in the form of series in powers of the parameter due to the melt of the surface of the guide covered with a low-melting metal alloy and the rate of dissipation of mechanical energy, taking into account the dependence of the viscosity of the lubricant on pressure. Subsequently, a self-similar solution was found, as a result of which the fields of velocities, pressure and the main operating characteristics, load capacity and friction force were determined when the working gap was not completely filled with lubricant.

В настоящей работе предлагаются теоремы об изменении скоростей при решении краевой задачи плоской и осесимметричной стационарной фильтрации. Доказательства базируются на методе мажорантных областей, предложенном Г. Н. Положим.

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