Zhermolenko, V. N. Temoltzi-Ávila, R.
Published in
Moscow University Mechanics Bulletin

AbstractAn inhomogeneous wave equation with dissipation in the presence of an external uncertain perturbation is considered. The problem of finding solutions with the maximum possible amplitudes is investigated. A method for solving this problem based on the Fourier method of separating variables and the Bulgakov problem of the maximum deviation of...

Xu, X.
Published in
Moscow University Mechanics Bulletin

AbstractOne-dimensional radiative-convective models are widely used for studying long-term climate and the influence of various processes (condensation of water vapor, motion of droplets, and their impacts on radiative fluxes, etc.) on the hydrodynamics of the atmosphere. However, long-term prediction of climate is difficult due to the properties o...

Beloglazkin, A. N. Shkadov, V. Ya.
Published in
Moscow University Mechanics Bulletin

AbstractThe flow of a film of a viscous liquid is considered. The liquid is a weak solution containing a gas phase and a volatile surfactant. The distribution of the latter in the layer is controlled by the diffusion in the liquid volume, the adsorption–desorption processes between the liquid volume and the adsorbed near-surface layer, and the evap...

Aleksandrov, V. V. Aleksandrova, T. B. Cruzado, L. L. Escamilla, R. J. A.
Published in
Moscow University Mechanics Bulletin

AbstractThe article shows the possibility of solving the problem of the transition between periodic and point attractors in the bistable Rosenzweig–MacArthur model with modifications for the dynamics of root hemiparasitic plants and their hosts.

Georgievskii, D. V.
Published in
Moscow University Mechanics Bulletin

AbstractThe possibilities of various representations of high-rank tensors in three-dimensional space using lower-rank tensors, in particular, the representations of second-rank tensors by vector fields, is discussed. The purpose of these representations is a convenient geometric interpretation of certain mechanical properties of objects described b...

Radkevich, E. V. Vasil’eva, O. A. Sidorov, M. I. Stavrovskii, M. E.
Published in
Moscow University Mechanics Bulletin

AbstractThe author’s method of thermodynamic analysis is used to single out two equations of state for the laminar combustion process: the classical Hugoniot adiabat, which determines the pressure, and the equation of state, which determines the entropy. This allows constructing a new mathematical model of the laminar process of vibrational combust...

Aleksandrov, V. V. Aleksandrova, O. V. Kozik, I. A. Semenov, Yu. S.
Published in
Moscow University Mechanics Bulletin

AbstractThe paper presents the results of simulation with the simplified modified Hodgkin–Huxley model of an afferent primary neuron in the presence of stochastic noise. The transition from the attraction domain of a point attractor like a stable focus to the attraction domain of a periodic attractor and the inverse transition to the attraction dom...

Lykov, A. A. Malyshev, V. A. Melikian, M. V.
Published in
Moscow University Mechanics Bulletin

AbstractWe consider a system of many point particles with arbitrary quadratic interaction and a harmonic force acting on a single fixed particle. Necessary and sufficient conditions for resonance and uniform boundedness of trajectories are obtained; and for the case of resonance the late time asymptotics for energy maximum of the system is obtained...

Andreeva, A. I. Afanasyev, A. A.
Published in
Moscow University Mechanics Bulletin

AbstractA method for well placement optimization to maximize oil production during a given time interval is proposed. The method is based on an empirical approach related to the enumeration of possible well positions, rather than calculating the gradient of the objective function. This provides, on the one hand, effective paralleling of the well pl...

Maksimenko, V. A. Tolokonnikov, S. L.
Published in
Moscow University Mechanics Bulletin

AbstractA plane problem of the formation of a crater as a result of the explosion of a line charge on the surface of the ground is investigated within the solid–liquid formulation. The explosion crater is supposed to be a polygonal line with two angular points. The exact solution to the problem is constructed. A parametric analysis is performed. Th...