We propose an approach to finding the roots of systems of quadratic equations in a box. This approach is based on a reduction to an auxiliary optimization problem. The auxiliary problem turns out to be, in general, a ...
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For a nonlinear parabolic heat equation we construct a heat wave type solution composed of the zero and nonnegative solutions joined continuously along the wave front. We prove the existence and uniqueness of an analy...
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The article provides a technology for estimating of potential flooding areas in the lower pool of the Irkutsk HPP at high mandatory water flow expenses through its water abstraction points, that probability has increa...
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The article provides a technology for estimating of potential flooding areas in the lower pool of the Irkutsk HPP at high mandatory water flow expenses through its water abstraction points, that probability has increased significantly since 2001, following the adoption by the Government of Russian Federation of a decree on strict control limits of Lake Baikal level within 456-457 m (in Pacific reference system). The article offers investigation on structure and method of digital modeling of the relief of the Angara river within 67 km in conditions of limited information (inaccuracy of the underwater and above-water relief).
The formation of charged pion condensate in anti-parallel electromagnetic fields and in the presence of the isospin chemical potential is studied in the two-flavor Nambu-Jona-Lasinio *** method of Schwinger proper tim...
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The formation of charged pion condensate in anti-parallel electromagnetic fields and in the presence of the isospin chemical potential is studied in the two-flavor Nambu-Jona-Lasinio *** method of Schwinger proper time is extended to explore the quantities in the off-diagonal flavor space,*** charged *** this framework,π^± are treated as bound states of quarks and not as point-like charged *** isospin chemical potential plays the role of a trigger for charged pion *** obtain the associated effective potential as a function of the strength of the electromagnetic fields and find that it contains a sextic term which possibly induces a weak first order phase *** dependence of pion condensation on model parameters is investigated.
We formulate the problem of finding a Nash equilibrium point for the non-zero sum three-person game as a nonconvex optimization problem by generalizing Mills's theorem [10]. For solving the problem, we propose the...
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In the article we describe the methods for construction of underwater 3D relief (bathymetry) and combining it with the corresponding ground relief (terrain) when the bathymetry information is of much lower quality tha...
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In this paper, we propose a technique for increasing the accuracy of modeling nonlinear dynamics of input-output systems using finite segments (polynomials) of Volterra integral power series. We highlight a case when ...
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The region of Southern Baikal belongs to the territories with high seismic activity. However, the issues of complex assessment of the influence of the lithosphere model on the dynamic parameters of the rock ground vib...
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Examples of problems of motion stability solved with the help of computer algebra systems (CAS) are presented. The authors have experience in developing and applying problem-oriented systems of symbolic computations a...
In this paper, we study systems of Fredholm integral equations with a singular matrix multiplying the leading part. We address the solvability issues of such systems with separable kernels and, similarly to differenti...
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