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Singular Minimal Surfaces which are Minimal
Universal Journal of Mathematics and Applications, 2021 In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome.
Ayla Erdur Kara +2 more
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Design and Analysis of the Membrane Structure [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The article deals with problems in designing and analyzing the membrane structure of a stadium roof. Attention is especially given to problems relating to the optimal design of the shape of the membrane (form finding) and the supporting cable system with
Ivan NĚMEC, Rostislav LANG
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A Carleman inequality on product manifolds and applications to rigidity problems
Advanced Nonlinear Studies, 2023 In this article, we prove a Carleman inequality on a product manifold M×RM\times {\mathbb{R}}. As applications, we prove that (1) a periodic harmonic function on R2{{\mathbb{R}}}^{2} that decays faster than all exponential rate in one direction must be ...
Sun Ao
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Wetting and minimal surfaces [PDF]
Physical Review E, 2007 22 ...
Bachas, Constantin +2 more
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Generalized Helicoidal Surfaces in Euclidean 5-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ...
Uçum Ali, Sakaki Makoto
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Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral
Modelling in Civil Environmental Engineering, 2022 The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness.
Broscăţeanu Ștefan Cezar
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Aircraft Wing Design for Extended Hybrid Laminar Flow Control
Aerospace, 2023 Laminar flow offers significant potential for increasing the energy-efficiency of future transport aircraft. The German Cluster of Excellence SE2A is developing a new approach for hybrid laminar flow control.
Lennart Lobitz +7 more
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Minimal quadrangulations of surfaces
Journal of Combinatorial Theory, Series B, 2022 25 pages, 20 ...
Wenzhong Liu +2 more
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Noncommutative Minimal Surfaces [PDF]
Letters in Mathematical Physics, 2016 We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.
Arnlind, Joakim +2 more
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Review of the State-of-the-Art Uses of Minimal Surfaces in Heat Transfer
Energies, 2022 The design of heat exchangers may change dramatically through the use of additive manufacturing (AM). Additive manufacturing, colloquially known as 3D printing, enables the production of monolithic metal bodies, devoid of contact resistance.
Krzysztof Dutkowski +2 more
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