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Potential theory for directed networks. [PDF]
PLoS ONE, 2013 Uncovering factors underlying the network formation is a long-standing challenge for data mining and network analysis. In particular, the microscopic organizing principles of directed networks are less understood than those of undirected networks.
Qian-Ming Zhang +5 more
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Математичні Студії, 2023 In 1934 Lavrentiev solved the problem of maximum of product of conformal radii of two non-overlapping simply connected domains. In the case of three or more points, many authors considered estimates of a more general Mobius invariant of the form $$ T_{n}:
I. V. Denega, Ya. V. Zabolotnyi
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Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 A potential theory for a three-dimensional elliptic equation with one singular coefficient is considered. Double- and simple-layer potentials with unknown density are introduced, which are expressed in terms of the fundamental solution of the mentioned ...
Tuhtasin G. Ergashev
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Potential-Based Large-Signal Stability Analysis in DC Power Grids With Multiple Constant Power Loads
IEEE Open Access Journal of Power and Energy, 2022 The increasing adoption of power electronic devices may lead to large disturbance in DC power grids. Traditionally, the Brayton-Moser mixed potential theory is utilized to address large-signal stability (LSS) analysis.
Fangyuan Chang +3 more
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Combinatorics Meets Potential Theory [PDF]
The Electronic Journal of Combinatorics, 2016 Using potential theoretic techniques, we show how it is possible to determine the dominant asymptotics for the number of walks of length $n$, restricted to the positive quadrant and taking unit steps in a balanced set $\Gamma$. The approach is illustrated through an example of inhomogeneous space walk.
d'Arco, Philippe +2 more
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Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 [PDF]
Opuscula Mathematica, 2018 For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.
Grigori Rozenblum, Grigory Tashchiyan
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Solving Westergaard Half-Space Problems Using Potential Theory [PDF]
Engineering and Technology Journal, 2023 The Westergaard half-space problem has been solved using the potential theory in this work. It is a classical theme in elasticity theory that seeks to find the displacements and stresses in the half-space caused by known boundary loads.
Charles Ike
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Application of low-order potential solutions to higher-order vertical traction boundary problems in an elastic half-space [PDF]
Royal Society Open Science, 2018 New solutions of potential functions for the bilinear vertical traction boundary condition are derived and presented. The discretization and interpolation of higher-order tractions and the superposition of the bilinear solutions provide a method of ...
Adam G. Taylor, Jae H. Chung
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Analysis of tangential contact boundary value problems using potential functions [PDF]
Royal Society Open Science, 2019 This paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition.
Adam G. Taylor, Jae H. Chung
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Velocity Increment on Incidence Angle near the Leading Edge of the Compressor Cascade
Aerospace, 2023 The geometry of a compressor leading edge has an important effect on the aerodynamic performance at an off-designed incidence angle. The current geometric design methods of the leading edge are usually developed based on the flow characteristics at the ...
Xiaobin Xu +3 more
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