Linearization and explicit solutions of the minimal surface equation [PDF]
, 1992 We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation Ah+2h = 0 describing locally germs of minimal surfaces . Here A is the LaplaceBeltrami operator on the standard two-dimensional sphere .
Reznikov, Alexander G.
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Non-Fourier heat transfer in a moving longitudinal radiative-convective dovetail fin
Case Studies in Thermal Engineering, 2023 The purpose of this research is to estimate the non-Fourier temperature distribution in dovetail fin. The Cattaneo-Vernotte heat model is utilized to estimate heat conduction behavioral patterns in dovetail fin.
Fehmi Gamaoun +7 more
doaj +1 more source
The Dirichlet problem for the minimal surface equation in $\mathrm{Sol}_{3}$, with possible infinite boundary data [PDF]
, 2013 In this paper, we study the Dirichlet problem for the minimal surface equation in $\rm Sol_3$ with possible infinite boundary data, where $\rm Sol_3$ is the non-abelian solvable $3$-dimensional Lie group equipped with its usual left-invariant metric that
Minh Hoang Nguyen
semanticscholar +1 more source
Bubble Growth in Supersaturated Liquids
Fluids, 2022 Bubble formation and dissolution have a wide range of industrial applications, from the production of beverages to foam manufacturing processes. The rate at which the bubble expands or contracts has a significant effect on these processes. In the current
Raj Kumar Nayak Maloth +2 more
doaj +1 more source
Family of Enneper Minimal Surfaces
Mathematics, 2018 We consider a family of higher degree Enneper minimal surface E m for positive integers m in the three-dimensional Euclidean space E 3 . We compute algebraic equation, degree and integral free representation of Enneper minimal surface for
Erhan Güler
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Design of Experiment in the Milling Process of Aluminum Alloys in the Aerospace Industry
Applied Sciences, 2020 For many years, surface has quality received a serious attention due to its influence on various mechanical properties. The main contribution made in this scientific paper is the performance of actual experiments, as well as the experimental processing ...
Aurel Mihail Țîțu +6 more
doaj +1 more source
Design and Experiments of a Naturally-Ventilated Radiation Shield for Ground Temperature Measurement
Atmosphere, 2023 Temperature sensors may produce a measurement error of up to 1 °C because of the influence of solar radiation. In order to obtain a relatively minimal temperature error, a new temperature observation system was proposed in this paper for measuring ...
Qingquan Liu +4 more
doaj +1 more source
Amorphous thin film growth: theory compared with experiment
, 2000 Experimental results on amorphous ZrAlCu thin film growth and the dynamics of the surface morphology as predicted from a minimal nonlinear stochastic deposition equation are analysed and compared.
Barabasi A. L. +13 more
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Design of experiment’s application in the optimization of milling process [PDF]
Metalurgija, 2010 This paper examines the influence of cutting parameters on surface roughness of steel workpiece. The experiments have been carried out in accordance with a design of experiments (DOE).
D. Bajić, S. Jozić, S. Podrug
doaj
Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space
Mathematics, 2018 Considering the Weierstrass data as ( ψ , f , g ) = ( 2 , 1 - z - m , z n ) , we introduce a two-parameter family of Henneberg-type minimal surface that we call H m , n for positive integers ( m , n ) by using the ...
Erhan Güler +2 more
doaj +1 more source