The paper generalizes the direct method of moving planes to the Logarithmic Laplacian ***,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at ***,the radial symmetry of th...
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The paper generalizes the direct method of moving planes to the Logarithmic Laplacian ***,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at ***,the radial symmetry of the solution of the Logarithmic Laplacian system is obtained.
Currently, studies of double nonlinear equations and systems of double nonlinear equations representing many processes found in nature are considered relevant and necessary. These equations and systems, as a rule, are...
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The inverse eigenvalue problem studies the possible spectra among matrices whose off-diagonal entries have their zero-nonzero patterns described by the adjacency of a graph G. In this paper, we refer to the i-nullity ...
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This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changing solid phases. Solving the Cahn-Hill...
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We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its...
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We study stationary solutions of McKean-Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem formulation to the manifold setting and c...
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The most critical task of a social network is to identify a central node. Numerous methods for determining centrality are documented in the literature. It contributes to online commerce by disseminating news, advertis...
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This paper focuses on the modeling of an induction machine, with a specific emphasis on saturation of the main path. The model, formulated in a two-axis system, considers the saturation effect to accurately represent ...
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ISBN:
(数字)9798350365306
ISBN:
(纸本)9798350365313
This paper focuses on the modeling of an induction machine, with a specific emphasis on saturation of the main path. The model, formulated in a two-axis system, considers the saturation effect to accurately represent the behavior of the machine. Two scenarios are studied namely nominal and high-level saturation cases. All parameters of the machine are treated as variables, and a comprehensive discussion is provided regarding the effects of certain parameters, shedding light on their influence on the induction machine’s dynamic performance. Simulation work is carried out using the MATLAB/Simulink environment, providing valuable insights into the system’s dynamic behavior under different saturation conditions.
The problem of constructing a triangle with a maximum area in a plane is considered. Approximate algorithms were developed to solve the problem using point elimination based on proposed heuristics. All algorithms are ...
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Any attracting, hyperbolic and proper node of a two-dimensional analytic vector-field has a unique strong-stable manifold. This manifold is analytic. The corresponding weak-stable manifolds are, on the other hand, not...
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