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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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Minimal nets and minimal minimal surfaces [PDF]
Acta Crystallographica Section A: Foundations and Advances, 2013 The 3-periodic nets of genus 3 (`minimal nets') are reviewed and their symmetries re-examined. Although they are all crystallographic, seven of the 15 only have maximum-symmetry embeddings if some links are allowed to have zero length. The connection between the minimal nets and the genus-3 zero-mean-curvature surfaces (`minimal minimal' surfaces) is ...
Olaf Delgado-Friedrichs +2 more
exaly +3 more sources
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
openaire +6 more sources
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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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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Plateau problem and minimal surfaces: numerical methods and applications
Lietuvos Matematikos Rinkinys, 2023 This article presents an overview of the results of solving the minimal surface equation by numerical methods. Another research task is the application of minimal surfaces in science, technology, especially architecture.
Mifodijus Sapagovas
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