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Plurifine potential theory [PDF]

open access: yesAnnales Polonici Mathematici, 2012
An overview of the recent developments in plurifine potential theory.
Wiegerinck, Jan
openaire   +5 more sources

Potential theory for directed networks. [PDF]

open access: yesPLoS 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
doaj   +2 more sources

Two symmetry problems in potential theory

open access: yesElectronic Journal of Differential Equations, 2001
We consider two overdetermined boundary value problems as variants on J. Serrin's 1971 classical results and prove in both cases that the domains must be Euclidean balls.
Tewodros Amdeberhan
doaj   +4 more sources

Application of upper estimates for products of inner radii to distortion theorems for univalent functions

open access: yesМатематичні 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
doaj   +1 more source

Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]

open access: yesVestnik 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
doaj   +1 more source

Correction: Potential Theory for Directed Networks

open access: yesPLoS ONE, 2013
Qian-Ming Zhang   +4 more
doaj   +4 more sources

Velocity Increment on Incidence Angle near the Leading Edge of the Compressor Cascade

open access: yesAerospace, 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
doaj   +1 more source

Hydrodynamic Analysis of Two Coaxial Moonpool Floaters Using Theoretical Methodologies

open access: yesJournal of Marine Science and Engineering, 2023
The present contribution aims at presenting a semi-analytical solution methodology of the linear hydrodynamic diffraction and radiation problems induced by two coaxial moonpool-type floaters subjected to incident waves. The flow field around the floaters
Anargyros S. Mavrakos   +2 more
doaj   +1 more source

Computational Investigation of Seakeeping Performance of a Surfaced Submarine in Regular Waves

open access: yes한국해양공학회지, 2022
A submarine is optimized to operate below the water surface because it spends most of its time in a submerged condition. However, the performance in free surface conditions is also important because it is unavoidable for port departure and arrival ...
Doojin Jung, Sanghyun Kim
doaj   +1 more source

Solving Westergaard Half-Space Problems Using Potential Theory [PDF]

open access: yesEngineering 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
doaj   +1 more source

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